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Theory of injective holomorphic mappings of a Riemann surface into another and its applications to hydrodynamics - a modern comprehension of the classical theory of univalent functions

Research Project

Project/Area Number 11440048
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Basic analysis
Research InstitutionHIROSHIMA UNIVERSITY

Principal Investigator

SHIBA Masakazu  Hiroshima University, Graduate School of Engineering, Professor, 大学院・工学研究科, 助教授 (70025469)

Co-Investigator(Kenkyū-buntansha) MIZUTA Yoshihiro  Hiroshima University, Faculty of Integrated Arts and Sciences, Professor, 総合科学部, 教授 (00093815)
KANEKO Arata  Hiroshima University, Graduate School of Engineering, Professor, 大学院・工学研究科, 教授 (10038101)
ITO Masaaki  Hiroshima University, Graduate School of Engineering, Associate Professor, 大学院・工学研究科, 助教授 (10116535)
MAITANI Fumio  Kyoto Institute of Technology, Faculty of Engineering, Professor, 工芸学部, 教授 (10029340)
MASUMOTO Makoto  Yamaguchi University, Faculty of Science, Associate Professor, 理学部, 助教授 (50173761)
徳永 宏  京都工芸繊維大学, 工芸学部, 教授 (10027906)
長町 重昭  徳島大学, 工学部, 教授 (00030784)
Project Period (FY) 1999 – 2002
Project Status Completed (Fiscal Year 2002)
Budget Amount *help
¥12,300,000 (Direct Cost: ¥12,300,000)
Fiscal Year 2002: ¥1,800,000 (Direct Cost: ¥1,800,000)
Fiscal Year 2001: ¥3,900,000 (Direct Cost: ¥3,900,000)
Fiscal Year 2000: ¥3,600,000 (Direct Cost: ¥3,600,000)
Fiscal Year 1999: ¥3,000,000 (Direct Cost: ¥3,000,000)
KeywordsRigmann surfaces / Conformal embedding / Univalent functions / Analytic continuation / Fluid dynamics / Quadratic differentials / Fundamental domains / Hyperbolically maximal domains / 正則な単射 / 自己等角写像群 / 双曲的計量 / 双曲的極大領域 / ワイアシュトラスのゼータ関数 / トーラスのモジュラス / 流れのエネルギー / 理想境界の大きさ / 理想境界を越える解析接続 / 正則写像 / モジュラス / 理想境界 / 双曲的距離 / 不連続群の基本領域
Research Abstract

The principal aim of the project has been to generalize the classical theory of univalent functions to that of conformal embeddings of a Riemann surface into another, and to find a number of properties of such mappings which had never been observed in the classical case. We studied hydrodynamics on Riemann surfaces, particularly on a torus. We investigated a new type of extremal problem (with respect to the hyperbolic metric) to obtain the notion of "hyperbolically maximal domain". We proved that a hyperbolically maximal domain is a fundamental domain and its boundary consists of trajectory arcs of a meromorphic quadratic differential. We then gave a new construction of a fundamental domain for a Fuchsian group. We also studied the new concept of analytic continuation "beyond the ideal boundary".
Part of the obtained results is reported in several international meetings: in Catania, Italy (2000), in Seoul, Korea (2001), Aveiro, Portugal (2001), and in Halle, Germany (2002).

Report

(5 results)
  • 2002 Annual Research Report   Final Research Report Summary
  • 2001 Annual Research Report
  • 2000 Annual Research Report
  • 1999 Annual Research Report
  • Research Products

    (279 results)

All Other

All Publications (279 results)

  • [Publications] Shiba, M.: "Analytic continuation beyond the ideal boundary"Kokyuroku, Res. Inst. Math. Sci., Kyoto Univ.. 1155. 120-127 (2000)

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  • [Publications] Shiba, M.: "Some function-theoretic properties of the hyperbolic metric and a new construction of fundamental domains"Kokyuroku, Res. Inst. Math. Sci., Kyoto Univ.. 1163. 1-8 (2000)

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  • [Publications] Shiba, M.: "Analytic continuation beyond the ideal boundary"Real and Complex Analysis, Proc. the third Japan-Korea Workshop. 26-35 (2000)

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  • [Publications] Shiba, M.: "Ideal fluid flows on a noncompact Riemann surface and analytic continuation beyond the ideal boundary"Real and Complex Analysis, Proc. the fourth Japan-Korea Workshop. 34-49 (2001)

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  • [Publications] Shiba, M.: "Analytic continuation beyond the ideal boundary""Analytic Extension Formulas and their Applications" (ed. by S.Saitoh et al.), Kluwer Academic Publ.. 233-250 (2000)

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  • [Publications] Schmieder, G.: "On the size of the ideal boundary of a finite Riemann surface"Ann. Univ. Marie Curie-Sklodwske, Sekt A. 55. 175-180 (2001)

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  • [Publications] Ito, M.: "Nonlinearity of energy of Rankine flows"Nonlinear Analysis, Theory, Methods & Applications. 47. 5467-5477 (2001)

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  • [Publications] 柴 雅和: "トーラス上のランキン流れとそのエネルギー"数理解析研究所講究録. 1223. 1-9 (2001)

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  • [Publications] Masumoto, M.: "Hyperbolically maximal domains and fundamental domains for a discontinuous group of conformal automorphisms of a Riemann surface"Quart. J. Math., Oxford. 53. 337-346 (2002)

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  • [Publications] Chung, Y.M.: "Shadowing property of non-invertible maps with hyperbolic measures"Tokyo J. Math.. 22. 145-166 (1999)

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  • [Publications] Chung, Y.M.: "Topological entropy for differentible maps of intervals"Osaka J. Math.. 38. 1-12 (2001)

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  • [Publications] Chung, Y.M.: "Metric entropy and horseshoe for C^1 maps"数理解析研究所講究録. 1244. 161-171 (2002)

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  • [Publications] Chung, Y.M.: "Expanding periodic orbits with small exponents"J. Difference Equations and Appl.. (印刷中). (2003)

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  • [Publications] Gao. M.: "A REDUCE package for finding conserved densities of systems of nonlinear difference-difference equations"Computer Physics Communications. 148. 242-255 (2002)

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  • [Publications] Ito, H.: "On extremal elliptic surfaces in characteristic 2 and 3"Hiroshima Math. J.. 32. 179-188 (2002)

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  • [Publications] Galapate, R.P.: "Trihalomethane formation potential prediction using some chemical functional groups and bulk parameters"Wat. Res.. 33. 2555-2560 (1999)

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  • [Publications] IWase, K.: "Estimation of the fifth percentile using a subset of order statistics"Proc. the International conference on Mesurement and Multivariate Analysis. 2. 218-220 (2000)

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  • [Publications] Kawamura, K.: "Correction of error in Chhikara and Folks' paper (1976) on the test for inverse Gaussian distribution"Bull. Faculty of Engineering Hiroshima University. 49. 5-8 (2000)

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  • [Publications] 河村 敏彦: "ドリフトを伴わないBrown運動における初期通過時間の分布の統計的性質"広島大学工学部研究報告. 49. 1-4 (2000)

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  • [Publications] 河村 敏彦: "損失関数に関するRao-Blackwellの定理のある一般化"広島大学大学院工学研究科研究報告. 50. 15-19 (2001)

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  • [Publications] Iwase, K.: "Estimation of the fifth percentile using a subset of order statistics"Measurement and Multivariate Analysis(ed. by S.Nishisato, Y.Baba, H.Bozdogan and K.Kanefuji). 217-226 (2000)

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  • [Publications] 玉置 仁: "海水の透明度変化がアマモ場面積の消長に及ぼす影響---広島県沿岸域におけるケーススタディー"水環境学会誌. 25. 151-156 (2002)

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  • [Publications] Saisho, Y.: "Limit theorems and random spacings related to cutting of DNAs by radiation"Statistics & Probability Lett. 43. 361-367 (1999)

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  • [Publications] Kanagawa, S.: "Strong approximation of reflecting Brownian motion using penalty method and its application to computer simulation"Monte Carlo Method and Appl.. 6. 105-114 (2000)

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  • [Publications] Nasu M.: "Endomorphisms of expansive systems on compact metric spaces and the pseudo-orbit tracing property"Trans. Amer. Math. Soc.. 352. 4731-4757 (2000)

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  • [Publications] Nasu, M.: "The dynamics of expansive invertible onesided cellular automata"Trans. Amer. Math. Soc.. 354. 4067-4084 (2002)

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  • [Publications] Willox, R.: "Quadrilateral lattices and eigenfunction potentials for N-component KP hierarchies"Phys. Lett. A. 252. 163-172 (1999)

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  • [Publications] Ablowitz, M.J.: "On discretizations of the vector nonlinear Schrodinger equation"Phys. Lett. A. 253. 287-304 (1999)

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  • [Publications] Tamizhmani, K.: "Integrability criteria for differential-difference systems : A comparison of singularity confinement and low-growth requirements"J. Phys. A : Math. Gen. 32. 6679-6685 (1999)

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  • [Publications] Ohta, Y.: "Pfaffian solution for coupled discrete nonlinear Schrodinger equation"Chaos, Solitons and Fractals. 11. 91-95 (2000)

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  • [Publications] Ablowitz, M.J.: "On integrability and chaos in discrete systems"Chaos, Solitons and Fractals. 11. 159-169 (2000)

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  • [Publications] Nimmo, J.J.C.: "Applications of Darboux transformations to the self-dual Yang-Mills equations"Theor. Math. Phys.. 122. 239-246 (2000)

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  • [Publications] Ohta, Y.: "Determinant and Pfaffian solutions for discrete soliton equations"CRM Proc. Lecture Notes. 25. 339-345 (2000)

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  • [Publications] Ramani, A.: "Discrete integrable systems from continuous Painleve equations through limiting procedures"Nonlinearity. 13. 1073-1086 (2000)

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  • [Publications] Ramani, A.: "Linearizable mappings and the low-growth criterion"J. Phys. A : Math. Gen.. 33. L287-L297 (2000)

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  • [Publications] Niihoff, F.W.: "On discrete Painleve equations associated with the lattice KdV systems and the Painleve VI equation"Stud. Appl. Math.. 106. 261-314 (2001)

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  • [Publications] Ramani, A.: "A geometrical description of the discrete Painleve VI and V equations"Comm. Math. Phys.. 217. 315-329 (2001)

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  • [Publications] Ramani, A.: "The q-Painleve V equation and its geometrical description"J. Phys. A : Math. Gen.. 34. 2505-2513 (2001)

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  • [Publications] Ohta, Y.: "A bilinear approach to a Pfaffian self-dual Yang-Mills equation"Glasgow Math. J.. 43A. 99-108 (2001)

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  • [Publications] Lafortune, S.: "Blending two discrete integrability criteria : singularity confinement and algebraic entropy"CRM Proceedings and Lecture Notes. 29. 299-311 (2001)

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  • [Publications] Ohta, Y.: "An affine Weyl group approach to the eight-parameter discrete Painleve equation"J. Phys. A : Math. Gen.. 34. 10523-10532 (2001)

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  • [Publications] Kakei, S.: "A differential-difference system related to toroidal Lie algebra"J. Phys. A : Math. Gen.. 34. 10585-10592 (2001)

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  • [Publications] Kajiwara, K.: "Determinant formulas for the Toda and discrete Toda equations"Funkcial. Ekvac.. 44. 291-307 (2001)

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  • [Publications] Byun, S-K.: "Current speed measurements by using ocean acoustic tomography of reciprocal sound transmission in the southern water of Koje Island"The Sea (J. Korean Soc. Oceanogr.). 4. 161-169 (1999)

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  • [Publications] Yuan, Y.: "Tides and short-term variabilities in the Kuroshio west of Yonakuni-jima"Acta Oceanologica Sinica. 18. 311-324 (1999)

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  • [Publications] Zhu, X-H.: "Kuroshio stream path variation and its associated velocity structures south of Shikoku"Japan. Geophys. Res. Lett.. 28. 4615-4618 (2000)

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  • [Publications] Yuan Z.: "Variabilities of the western Pacific surface current"Proc. 10th PAMS/JECSS Workshop, Kagoshima. B17-B20 (1999)

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  • [Publications] Park, J-H.: "Measurements of tidal velocity fields in the Aki-nada of the Seto Inland Sea by coastal acoustic tomography system"Proc. 10th PAMS/JECSS Workshop, Kagoshima. B5-B8 (1999)

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  • [Publications] Park, J-H.: "Optimum inversion of mesoscale velocity fields for the ocean acoustic tomography"Proc. Intern. Symp. Acoustic Tomography and Acoustic Thermometry, Tokyo. 79-87 (1999)

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  • [Publications] Zheng, H.: "Application of the acoustic tomography to velocity measurement in the coastal seas"Proc. Intern. Symp. Acoustic Tomography and Acoustic Thermometry, Tokyo. 70-78 (1999)

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  • [Publications] Park, J-H.: "Assimilation of coastal acoustic tomography data into a barotropic ocean mode"Geophys. Res. Lett.. 27. 3373-3376 (2000)

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  • [Publications] Park, J-H.: "Computer simulation of coastal acoustic tomography by a two-dimensional vortex model"J. Oceanogr.. 57. 593-602 (2001)

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  • [Publications] Kaneko, A.: "Repeat meridional survey of the western North Pacific subtropical gyre by a VOS ADCP during 1997 to 1998"Geophys. Res. Lett.. 28. 3429-3432 (2001)

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  • [Publications] Kaneko, A.: "Acoustic monitoring of the Kuroshio Current system"J. Marine Acoust. Soc. Jpn. 28. 236-235 (2001)

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  • [Publications] Zhu, X-H.: "Kuroshio stream path variation and its associated velocity structures south of Shikoku"Geophys. Res. Lett.. 28. 4615-4618 (2001)

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  • [Publications] Yamaoka, H.: "Coastal acoustic tomography system and its field application"IEEE J. Oceanic Eng.. 27. 283-295 (2002)

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  • [Publications] Kaneko, A.: "Measurement of tidal vortices by the coastal acoustic tomography"''Theoretical and Computational Acoustics 2001"(ed. by E.-C.Shang and Qihu Li and T.F.Gao), World Scientific Publ.. 157-169 (2002)

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  • [Publications] 金子 新: "海洋計測:浅海域海洋音響トモグラフィー"海洋音響学会誌. 29. 12-22 (2002)

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  • [Publications] Mizuta, Y.: "Multiple exponential integrability for Riesz potentials of functions in Orlicz classes"Advances in Math. Sci. and Appl.. 9. 621-631 (1999)

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  • [Publications] Mizuta, Y.: "Hyperplane integrals of BLD and monotone BLD functions"数理解析研究所講究録. 1116. 51-68 (1999)

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  • [Publications] Mizuta, Y.: "Boundary limits of spherical means for BLD and monotone BLD functions in the unit ball"Acad. Sci. Fenn. Ser. A. I. Math.. 24. 45-60 (1999)

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  • [Publications] Futamura, T.: "A generalization of the Liouville theorem to polyharmonic functions"数理解析研究所講究録. 1116. 41-50 (1999)

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  • [Publications] Mizuta, Y.: "Growth properties of spherical means for monotone BLD functions in the unit ball"Acad. Sci. Fenn. Ser. A. I. Math.. 25. 457-475 (2000)

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  • [Publications] Mizuta, Y.: "Differentiability and Holder continuity of Riesz potentials of functions in Orlicz classes"Analysis. 20. 201-223 (2000)

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  • [Publications] Mizuta, Y.: "Boundary limits of functions in weighted Lebesgue or Sobolev classes"Revue Roumaine Math. Pures Appl.. 46. 67-75 (2001)

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  • [Publications] Futamura, T.: "A generalization of the Liouville theorem to polyharmonic functions"J. Math. Soc. Japan. 53. 113-118 (2001)

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  • [Publications] Futamura, T.: "A generalization of Bocher's theorem for polyharmonic functions"Hiroshima Math. J.. 31. 59-70 (2001)

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  • [Publications] Futamura, T.: "Existence of functions in weighted Sobolev spaces"Nagoya Math. J.. 164. 75-88 (2001)

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  • [Publications] Mizuta, Y.: "Holder continuity and differentiability for weighted Sobolev spaces"Proc. Amer. Math. Soc.. 130. 2985-2994 (2002)

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  • [Publications] Tokunaga, H.: "Numerical simulation of unsteady incompressible flow along multi-element aerofoil by unstrucrured grid coupled with finite colume and vorticity-stream function method"''Numerical Grid Generation in Computational Field Simulations" (ed. by B.K.Soni, et al.). 25-28 (2000)

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  • [Publications] 岡田 泰典: "渦度・流れ関数法と移動格子法によるジャーナル・ペアリング流れの動的解析"日本機械学会論文集(B編). 66. 641-646 (2000)

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  • [Publications] Nagamachi, S.: "Hyperfunction quantum field theory : Analytic structure, modular aspects and local observable algebras"Journal of Mathematical Physics. 42. 99-129 (2001)

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  • [Publications] Nishimura, T.: "Support and kernel theorem for Fourier hyperfunctions"Osaka J. Math.. 38. 667-680 (2001)

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  • [Publications] Bruening, E.: "Kernel theorem for Fourier hyperfunctions"J. Math. The Univ. Tokushima. 35. 57-64 (2001)

    • Description
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    • Related Report
      2002 Final Research Report Summary
  • [Publications] Seto, S.: "Source identification of rural precipitation chemistry in Japan"Water, Air, & Soil Pollution : An Int. J. of Environmental Pollution. 130. 493-498 (2001)

    • Description
      「研究成果報告書概要(和文)」より
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  • [Publications] Sato, M.: "Recent development of estimating source apportionment in air pollution"数理解析研究所講究録. 1253. 87-94 (2002)

    • Description
      「研究成果報告書概要(和文)」より
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  • [Publications] Sato, M.: "Some cautionary notes on factor loadings estimated by principal component analysis"New Developments in Psychometrics. 117-122 (2002)

    • Description
      「研究成果報告書概要(和文)」より
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  • [Publications] Sato, M.: "Importance of identification of the model : some comments on the article 'Bilinear estimation of pollution source profiles and amounts by using multivariate receptor models'"Environmetrics. 13. 799-800 (2002)

    • Description
      「研究成果報告書概要(和文)」より
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  • [Publications] Otani, A.: "Examination of the response bias related to the expressions of the questionnaire on SDS (Self-rating Depression Scale) proposed by Zung"Jap. J. of Behaviormetrics. 26. 34-45 (1999)

    • Description
      「研究成果報告書概要(和文)」より
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  • [Publications] Wang, X.: "A note on Mobius transformations in space"Mem. Fac. Engi. Des. Kyoto Inst. Tech.. 47. 1-8 (1999)

    • Description
      「研究成果報告書概要(和文)」より
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  • [Publications] Maitani, F.: "Ahifors-Rauch type variational formulas on complex manifolds"Mem. Fac. Engi. Des. Kyoto Inst. Tech.. 49. 17-38 (2001)

    • Description
      「研究成果報告書概要(和文)」より
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  • [Publications] Ishida, H.: "Conformal imbeddings of Denjoy domains"Acta Human. Sci. Univ. Sangio Kyotiensis. 30. 1-7 (2001)

    • Description
      「研究成果報告書概要(和文)」より
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  • [Publications] Ishida, H.: "Conformal imbeddings of Denjoy domains II"Acta Human. Sci. Univ. Sangio Kyotiensis. 31. 1-5 (2002)

    • Description
      「研究成果報告書概要(和文)」より
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  • [Publications] Maitani, F.: "Smoothness of rand M scaling functions"Appl. Comput. Harmon. Anal.. 13. 116-137 (2002)

    • Description
      「研究成果報告書概要(和文)」より
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  • [Publications] Masumoto, M.: "Extremal lengths of homology classes on Riemann surfaces"J. Reine Angew. Math.. 508. 17-45 (1999)

    • Description
      「研究成果報告書概要(和文)」より
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  • [Publications] Masumoto, M.: "Hyperbolic lengths and conformal embeddings of Riemann surfaces"Israel J. Math.. 116. 77-92 (2000)

    • Description
      「研究成果報告書概要(和文)」より
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  • [Publications] 増本 誠: "A theorem of Schmieder-Shiba on compact continuations of open Riemann surfaces"数理解析研究所講究録. 1223. 10-18 (2001)

    • Description
      「研究成果報告書概要(和文)」より
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  • [Publications] Masumoto, M.: "Extremal lengths of homology classes on compact Riemann surfaces"Nonlinear Anal.. 47. 5491-5500 (2001)

    • Description
      「研究成果報告書概要(和文)」より
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  • [Publications] Masumoto, M.: "Algebraic relations among extremal lengths of homology classes on compact Riemann surfaces"Math. Nachr.. 239/240. 157-169 (2002)

    • Description
      「研究成果報告書概要(和文)」より
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  • [Publications] Schmieder, G.: "On the Mobius distance"Ann. Univ. Marie Curie-Sklodwske, Sekt A. 54. 125-131 (2000)

    • Description
      「研究成果報告書概要(和文)」より
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  • [Publications] 柴 雅和: "関数論講義"森北出版. 288 (2000)

    • Description
      「研究成果報告書概要(和文)」より
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  • [Publications] 柴 雅和: "理工系複素関数論"サイエンス社. 205 (2002)

    • Description
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  • [Publications] 水田 義弘: "実解析入門-測度・積分・ソポレフ空間"培風館. 275 (1999)

    • Description
      「研究成果報告書概要(和文)」より
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  • [Publications] Sato, M.: "Source Apportionment (in "The Encyclopedia of Environmetrics" ed. by A.H.El-Shaarawi and W.W.Piegorsch)"Wiley. 2033-2036 (2002)

    • Description
      「研究成果報告書概要(和文)」より
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  • [Publications] Shiba, M.: "Analytic continuation beyond the ideal boundary"Kokyuroku, Res. Inst. Math. Sci., Kyoto Univ.. 1155. 120-127 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Shiba, M.: "Some function-theoretic properties of the hyperbolic metric and a new construction of fundamental domains"Kokyuroku, Res. Inst. Math. Sci., Kyoto Univ.. 1163. 1-8 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Shiba, M.: "Analytic continuation beyond the ideal boundary Real and Complex Analysis"Proc. The third Japan-Korea Workshop, Ewha Womans University, Seoul, Korea. 26-35 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Shiba, M., ed. By M. Furushima et al.: "Ideal fluid flows on a noncompact Eieraann surface and analytic continuation beyond the ideal boundary, Real and Complex Analysis"Proc. The fourth Japan-Korea Workshop, Hiroshima University. 34-49 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Schmieder, G.: "On the size of the ideal boundary of a finite Riemann surface"Ann. Univ. Marie Curie-Sklodwske, Sekt A.. 55. 175-180 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Ito, M.: "Nonlinearity of energy of Rankine flows"Nonlinear Analysis, Theory, Methods & Applications. 47. 5467-5477 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Shiba, M.: "Rankine flows on a torus and the energy"Kokyuroku, Res. Inst, Math. Sci., Kyoto Univ.. 1223. 1-9 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Masumoto, M.: "Hyperbolically maximal domains and fundamental domains for a discontinuous group of conformal automorphisms of a Riemann surface"Quart. J. Math, Oxford. 53. 337-346 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Chung, Y. M.: "Shadowing property of non-invertible maps with hyperbolic measures"Tokyo Journal Math.. 22. 145-166 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Chung, Y. M.: "Topological entropy for differentible maps of intervals"Osaka J. Math.. 38. 1-12 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Chung, Y. M.: "Metric entropy and horseshoe for C^1 maps"Kokyuuroku, Res, Inst. Math. Sci., Kyoto Univ.. 1244. 161-171 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Chung, Y. M.: "Expanding periodic orbits with small exponents"J. Difference Equations and Appl.. (in press). (2003)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Gao, M.: "A REDUCE package for finding conserved densities of systems of nonlinear difference-difference equations"Computer Physics Communications. 148. 242-255 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Ito, H.: "On extremal elliptic surfaces in characteristic 2 and 3"Hiroshima Math. J.. 32. 179-188 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Galapate, R. P.: "Trihalomethane formation potential prediction using some chemical functional groups and bulk parameters"Wat. Res.. 33. 2555-2560 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Iwase, K.: "Estimation of the fifth percentile using a subset of order statistics"Proc. the International conference on Mesurement and Multivariate Analysis. 2. 218-220 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Kawamura, K.: "Correction of error in Chhikara and Folks' paper (1976) on the test for inverse Gaussian distribution"Bull. Faculty of Engineering, Hiroshima University. 49. 5-8 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Kawamura, K.: "Statistical properties of the first passage time distribution of the Brownian motion without drift"Bull. Faculty of Engineering, Hiroshima University. 49. 1-4 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Kawamura, K.: "A generalizarion of Rao-Blackwell's theorem with respect to loss functions"Bull. Faculty of Engineering, Hiroshima University. 50. 15-19 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Tamaki, H.: "The Effect of Transparency of the Change in Eel-grass Bed Area in the Coastal Area of the Hiroshima Prefecture"Journal of JEWE. 25. 151-156 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Saisho, Y.: "Limit theorems and random spacings related to cutthig of DNAs by radiation"Statistics & Probability Lett.. 43. 361-367 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Kanagawa, S.: "Strong approximation of reflecting Brownian motion using penalty method and its application to computer simulation"Monte Carlo Method and Appl.. 6. 105-114 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Nasu, M.: "Endomorphisms of expansive systems on compact metric spaces and the pseudo-orbit tracing property"Trans. Amer. Math. Soc.. 352. 4731-4757 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Nasu, M.: "The dynamics of expansive invertible onesided cellular automata"Trans. Amer. Math. Soc.. 354. 4067-4084 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Willox, R.: "Quadrilateral lattices and eigenfunction potentials for N-component KP hierarchies"Phys. Lett. A. 252. 163-172 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Ablowitz, M. J.: "On discretizations of the vector nonlinear Schrodinger equation"Phys. Lett. A. 253. 287-304 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Tamizhmani, K. M.: "Integrability criteria for differential-difference systems: A comparison of singularity confinement and low-growth requirements"J. Phys. A: Math. Gen.. 32. 6679-6685 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Ohta, Y.: "Pfaffian solution for coupled discrete nonlinear Schrodinger equation"Chaos, Solitons and Fractals. 11. 159-169 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Ablowitz, M. J.: "On integrability and chaos in discrete systems"Chaos, Solitons and Fractals. 11. 159-169 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Nimmo, J. J. C.: "Applications of Darboux transformations to the self-dual Yang-Mills equations"Theor. Math. Phys.. 122. 239-246 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Ohta, Y.: "Determinant and Pfaffian solutions for discrete soliton equations"CRM Proc. Lecture Notes. 25. 339-345 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Ramani, A.: "Discrete integrable systems from continuous Painleve equations through limiting procedures"Nonlinearity. 13. 1073-1086 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Ramani, A.: "Linearizable mappings and the low-growth criterion"J. Phys. A: Math. Gen.. 33. L287-L292 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Nijhoff, F. W.: "On discrete Painleve equations associated with the lattice KdV systems and the Painleve VI equation"Stud. Appl. Math.. 106. 261-314 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Ramani, A.: "A geometrical description of the discrete Painleve VI and V equations"Comm. Math. Phys.. 217. 315-329 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Ramani, A.: "The q-Painleve V equation and its geometrical description"J. Phys. A: Math. Gen.. 34. 2505-2513 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Ohta, Y.: "A bilinear approach to a Pfaffian self-dual Yang-Mills equation"Glasgow Math. J.. 43A. 99-108 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Lafortune, S.: "Blending two discrete integrability criteria: singularity confinement and algebraic entropy"CRM Proceedings and Lecture Notes. 29. 299-301 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Ohta, Y.: "An affine Weyl group approach to the eight-parameter discrete Painleve equation"J. Phys. A: Math. Gen.. 34. 10523-10532 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Kakei, S.: "A differential-difference system related to toroidal Lie algebra"J. Phys. A: Math. Gen.. 34. 10585-10592 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Kajiwara, K.: "Determinant formulas for the Toda and discrete Toda equations"Funkcial. Ekvac.. 44. 291-307 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Byun, S-K.: "Current speed measurements by using ocean acoustic tomography of reciprocal sound transmission in the southern water of Koje Island"The Sea (J. Korean Soc. Oceahogr.). 4. 161-169 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Yuan. Y.: "Tides and short-term variabilities in the Kuroshio west of Yonakuni-jima"Acta Oceanologica Sinica. 18. 311-324 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Zhu, X-H.: "Kuroshio stream path variation and its associated velocity structures south of Shikoku"Japan. Geophys. Res. Lett.. 28. 4615-4618 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Yuan, Z.: "Variabilities of the western Pacific surface current"Proc. 10th PAMS/JBCSS Workshop, Kagoshima. B17-B20 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Park, J-H.: "Measurements of tidal velocity fields in the Akinada of the Seto Inland Sea by coastal acoustic tomography system"Proc. 10th PAMS/JBCSS Workshop, Kagoshima. B5-B8 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Park, J-H.: "Optimum inversion of mesoscale velocity fields for the ocean acoustic tomography"Proc. Intern. Symp. Acoustic Tomography and Acoustic Thermometry, Tokyo. 79-87 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Zheng, H.: "Application of the acoustic tomography to velocity measurement in the coastal seas"Proc. Intern. Symp. Acoustic Tomography and Acoustic Thermometry, Tokyo. 70-78 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Park, J-H.: "Assimilation of coastal acoustic tomography data into a barotropic ocean model"Geophys. Res. Lett.. 27. 3373-3376 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Park, J-H.: "Computer simulation of coastal acoustic tomography by a two-dimensional vortex model"J. Oceanogr.. 57. 593-602 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Kaneko, A.: "Repeat meridional survey of the western North Pacific subtropical gyre by a VOS ADCP during 1997 to 1998"Geophys. Res. Lett.. 28. 3429-3432 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Kaneko, A.: "Acoustic monitoring of the Kuroshio Current system"J. Marine Acoust. Soc. Jpn.. 28. 236-255 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Zhu, X-H.: "Kuroshio stream path variation and its associated velocity structures south of Shikoku"Japan. Geophys. Res. Lett.. 28. 4615-4618 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Yamaoka, H.: "Coastal acoustic tomography system and its field application"IEEE J. Oceanic Eng.. 27. 283-295 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Kaneko, A.: "Ocean Measurement: Shallow-sea acoustic tomography"J. Marine Acoustical Soc. Japan. 29. 12-22 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Mizuta, Y.: "Multiple exponential integrability for Riesz potentials of functions in Orlicz classes"Advances in Math. Sci. and Appl.. 9. 621-631 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Mizuta, Y.: "Hyperplane integrals of BLD and monotone BLD functions"Kokyuroku, Res. Inst. Math. Sci., Kyoto Univ.. 1116. 51-68 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Mizuta, Y.: "Boundary limits of spherical means for BLD and monotone BLD functions in the unit ball"Acad. Sci. Fenn. Ser. A. I. Math.. 24. 45-60 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Futamura, T.: "A generalization of the Liouville theorem to polyharmonic functions"Kokyuroku, Res. Inst. Math. Sci,, Kyoto Univ.. 1116. 41-50 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Mizuta, Y.: "Growth properties of spherical means for monotone BLD functions in the unit ball"Acad. Sci. Fenn. Ser. A. I. Math.. 25. 457-465 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Mizuta, Y.: "Differentiability and Holder continuity of Riesz potentials of functions in Orlicz classes"Analysis. 20. 201-223 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Futamura, T.: "A generalization of the Liouville theorem to polyharmonic functions"J. Math. Soc. Japan. 53. 113-118 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Mizuta, Y.: "Boundary limits of functions in weighted Lebesgue or Sobolev classes"Revue Roumaine Math. Pures Appl.. 46. 67-75 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Futamura, T.: "A generalization of Bocher's theorem for polyharmonic functions"Hiroshima Math. J.. 31. 59-70 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Futamura, T.: "Existence of functions in weighted Sobolev spaces"Nagoya Math. J.. 164. 75-88 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Mizuta, Y.: "Holder continuity and differentiability for weights Sobolev spaces"Proc. Amer. Math. Soc.. 130. 2985-2994 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Okada, Y.: "Numerical Simulation of Flow in Dynamically Loaded Journal-Bearing by Vorticity-Stream Function and Moving Grid Method"Transaction of JSME. 66(B). 641-646 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Nagamachi, S.: "Hyperfunction quantum field theory: Analytic structure, modular aspects and local observable algebras"Journal of Mathematical Physics. 42. 99-129 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Nishimura, T.: "Support and kernel theorem for Fourier hyper-functions"Osaka J. Math.. 38. 667-680 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Bruening, E.: "Kernel theorem for Fourier hyperfunctions"J. Math. The Univ. Tokushima. 35. 57-64 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Seto, S.: "Source identification of rural precipitation chemistry in Japan"Water, Air, & Soil Pollution: An Int. J. of Environmental Pollution. 130. 493-498 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Sato, M.: "Recent development of estimating source apportionment in air pollution"Kokyuroku, Res. Inst. Math. Sci., Kyoto Univ.. 1253. 87-94 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Sato, M.: "Some cautionary notes on factor loadings estimated by principal component analysis"New Developments in Psychometrics. 117-122 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Sato, M.: "Importance of identification of the model: some comments on the article 'Bilinear estimation of pollution source profiles and amounts by using multivariate receptor models'"Environmetrics. 13. 799-800 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Otani, A.: "Examination of the response bias related to the expressions of the questionnaire on SDS (Self-rating Depression Scale) proposed by Zung"Jap. J. of Behaviormetrics. 26. 34-45 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Wang, X.: "A note on Mobius transformations in space"Mem. Fac. Engi. Des. Kyoto Inst. Tech.. 47. 1-8 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Maitani, F.: "Ahlfors-Rauch type variational formulas on complex manifolds"Mem. Fac. Engi. Des. Kyoto Inst. Tech.. 49. 17-38 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Ishida, H.: "Conformal imbeddings of Denjoy domains"Acta Human. Sci. Univ. Sangio Kyotiensis. 30. 1-7 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Ishida, H.: "Conformal imbeddings of Denjoy domains II"Acta Human. Sci. Univ. Sangio Kyotiensis. 31. 1-5 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Maitani, F.: "Smoothness of rand M scaling functions"Appl. Comput. Harmon. Anal.. 13. 116-137 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Masumoto, M.: "Extremal lengths of homology classes on Riemann surfaces"J. Reine Angew. Math.. 508. 17-45 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Masumoto, M.: "Hyperbolic lengths and conformal embeddings of Riemann, surfaces"Israel J. Math.. 116. 77-92 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Masurnoto, M.: "A theorem of Schmieder-Shiba on compact continuations of open Riemann surfaces"Kokyuroku, Res. Inst. Math. Sci., Kyoto Univ.. 1223. 10-18 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Masumoto, M.: "Extremal lengths of homology classes on compact Riemann surfaces"Nonlinear Anal.. 47. 5491-5500 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Masumoto, M.: "Algebraic relations among extremal lengths of homology classes on compact Riemann surfaces"Math. Nachr.. 239/240. 157-169 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Schmieder, G.: "On the Mobrus distance"Ann. Univ. Marie Curie-Sklodwske, Sekt A.. 54. 125-131 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Shiba, M.: "Analytic continuation beyond the ideal boundary, "Analytic Extension Formulas and their Applications" (ed. by S. Saitoh et al.)"Kluwer Academic Publ.. 233-250 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Iwase, K.: "Estimation of the fifth percentile using a subset of order statistics, Measurement and Multivariate Analysis, (ed. by S. Nishisato, Y. Baba, H. Bozdogan and K. Kanefuji)"217-226 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Kaneko, A.: "Measurement of tidal vortices by the coastal aoustic tomography, "Theoretical and Computational Acoustics 2001" (ed. by E.-C. Shang and Qihu Li and T. F. Gao)"World Scientific Publ.. 157-169 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Tokunaga, H.: "Numerical simulation of unsteady incompressible flow along multi-element aerofoil by unstrucrured grid coupled with finite volume and vorticity-stream function method, "Numerical Grid Generation in Computational Field Simulations" (ed, by B. K. Soni, et al.), ISGG, Chateau Whsitler Resort, Canada"

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Shiba, M.: "Lectures on the Theory of Functions (In Japanese)"Morikita Publ. Co.. 288 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Shiba, M.: "Complex Functions for Scientists and Engineers (in Japanese)"Science Publ. Co.. 205 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Mizuta, Y.: "An Introduction to Real Analysis - Measures, Integrals, and Sobolev Spaces {in Japanese)"Baifukan Publ, Co.. 275 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Sato, M.: "Source Apportionment, in "The Encyclopedia of Environmetrics" ed. by A. H. El-Shaarawi and W. W. Piegorsch"Wiley. 2033-2036 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Masumoto, M.: "Hyperbolically maximal domains and fundamental domains for a discontinuous group of conformal automorphisms of a Riemann surface"Quart. J. Math, Oxford. 53. 337-346 (2002)

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      2002 Annual Research Report
  • [Publications] Mizuta, Y.: "Holder continuity and differentiability for weighted Sobolev spaces"ProC. Amer. Math. Soc.. 130. 2985-2994 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Sato, M.: "Some cautionary notes on factor loadings estimated by principal component analysis"New Developments in Psychometrics. 117-122 (2002)

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      2002 Annual Research Report
  • [Publications] Gao, M.: "A REDUCE package for finding conserved densities of systems of nonlinear difference-difference equations"Computer Physics Communications. 148. 242-255 (2002)

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      2002 Annual Research Report
  • [Publications] Yamaoka, H.: "Coastal acoustic tomography system and its field application"IEEE J. Oceanic Eng.. 27. 283-295 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Kaneko, A.: "Measurement of tidal vortices by the coastal acoustic tomography"Theoretical and Computational Acoustics 2001. 157-169 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Masumoto, M.: "Algebraic relations among extremal lengths of homology classes on compact Riemann surfaces"Math. Nachr.. 239/240. 157-169 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 金子 新: "海洋計測:浅海域海洋音響トモグラフィー"海洋音響学会誌. 29. 12-22 (2002)

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      2002 Annual Research Report
  • [Publications] Nasu, M.: "The dynamics of expansive invertible onesided cellular automata"Trans. Amer. Math. Soc.. 354. 4067-4084 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Maitani, M.: "Smoothness of rand M scaling functions"Appl. Comput. Harmon. Anal.. 13. 116-137 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Ishida, H.: "Conformal imbeddings of Denjoy domains II"Acta Human. Sci. Univ. Sangio Kyotiensis. 31. 1-5 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 玉置 仁: "海水の透明度変化がアマモ場面積の消長に及ぼす影響-広島県沿岸域におけるケーススタディ-"水環境学会誌. 25. 151-156 (2002)

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      2002 Annual Research Report
  • [Publications] Ramani, A.: "On the autonomous limit of discrete Painlev'e equations"Phys.A. 305. 437-444 (2002)

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      2002 Annual Research Report
  • [Publications] Masuda, T.: "A determinant formula for a class of rational solutions of Painleve V equation"Nagoya Math. J.. 168. 1-25 (2002)

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      2002 Annual Research Report
  • [Publications] Ito, H.: "On extremal elliptic surfaces in characteristic 2 and 3"Hiroshima Math. J.. 32. 179-188 (2002)

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      2002 Annual Research Report
  • [Publications] 柴 雅和: "理工系複素関数論"サイエンス社. 205 (2002)

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      2002 Annual Research Report
  • [Publications] M.Ito: "Nonlinearity of energy of Rankine flows"Nonlinear Analysis, Theory, Methods & Applications. 47. 5467-5477 (2001)

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      2001 Annual Research Report
  • [Publications] G.Schmieder: "On the size of the ideal boundary of a finite Riemann surface"Ann. Univ. Marie Curie-Sklodwske, Sekt. A. 55. 175-180 (2001)

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      2001 Annual Research Report
  • [Publications] 伊藤雅明: "トーラス上のランキン流れとそのエネルギー"京都大学数理解析研究所講究録. 1223. 1-9 (2001)

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      2001 Annual Research Report
  • [Publications] M.Ito: "Superpositions of a uniform flow on a torus and the flow described by the Weierstrass ξ function"Real and Complex Analysis. Proc. 5^<th> Japan-Korea Workshop held at Hiroshima Univ. (ed. by M. Furushima et al.). (2002)

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      2001 Annual Research Report
  • [Publications] X-H.Zhu: "Kuroshio stream path variation and its associated velocity structures south of Shikoku"Japan. Geophys. Res. Lett.. 28・24. 4615-4618 (2001)

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      2001 Annual Research Report
  • [Publications] A.Kaneko: "Repeat meridional survey of the western North Pacific subtropical gyre by a VOS ADCP during 1997 to 1998"Japan. Geophys. Res. Lett.. 28・18. 3429-3432 (2001)

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      2001 Annual Research Report
  • [Publications] Y-M.Chung: "Topological entropy for differential maps of intervals"Osaka J. Math.. 38. 1-12 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] F.Maitani: "Ahlfors-Rauch type variational formulas on complex manifolds"Mem. Fac. Eng. And Design Kyoto Inst. Tech.. 49. 19-36 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] H.Ishida: "Conformal imbeddings of Denjoy domains"Acta Human. Sci. Univ. Sangio Kyotiensis. 30. 1-7 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] M.Masumoto: "A theorem of Schmieder-Shiba on compact continuations of open Riemann surfaces"京都大学数理解析研究所講究録. 1223. 10-18 (2001)

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      2001 Annual Research Report
  • [Publications] M.Masumoto: "Extremal lengths of homology classes on compact Riemann surfaces"Nonlinear Analysis, Theory, Methods and Applications. 47. 5491-5500 (2001)

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      2001 Annual Research Report
  • [Publications] T.Futamura: "A generalization of the Liouville theorem to polyharmonic functions"J. Math. Soc. Japan. 53. 113-118 (2001)

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      2001 Annual Research Report
  • [Publications] T.Futamura: "A generalization of Boche's theorem for polyharmonic functions"Hiroshima Math. J.. 31. 59-70 (2001)

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      2001 Annual Research Report
  • [Publications] T.Futamura: "Existence of functions in weighted Sobolev spaces"Nagoya Math. J.. 164. 75-88 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Y.Mizuta: "Boundary limits of functions in weighted Lebesgue or Sobolev classes"Revue Roumaine Math. Pures Appl.. 46. 67-75 (2001)

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      2001 Annual Research Report
  • [Publications] S.Nagamachi: "Hyperfunction quantum field theory : Analytic structure, modular aspects, and local observable algebras"J. Math. Phys.. 42・1. 99-129 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] T.Nishimura: "Support and Kernel theorem for Fourier hyperfunctions"Osaka J. Math.. 38・3. 667-680 (2001)

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      2001 Annual Research Report
  • [Publications] E.Bruening: "Kernel Theorem for Fourier hyperfunctions"J. Math., The Univ. Tokushima. 35. 57-64 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] F.W.Nijhoff: "On discrete Painleve equations associated with the lattice KdV systems and the Painleve VI equation"Stud. Appl. Math.. 106・3. 261-314 (2001)

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      2001 Annual Research Report
  • [Publications] A.Ramani: "A geometrical description of the discrete Painleve VI and V equations"Comm. Math. Phys.. 217・2. 315-329 (2001)

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      2001 Annual Research Report
  • [Publications] A.Ramani: "The q-Painleve V equation and its geometrical description"J. Phys. A : Math. Gen.. 34・11. 2505-2513 (2001)

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      2001 Annual Research Report
  • [Publications] Y.Ohta: "A bilinear approach to a Pfaffian self-dual Yang-Mills equation"Glasgow Math. J.. 43A. 99-108 (2001)

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      2001 Annual Research Report
  • [Publications] S.Lafortune: "Blending two discrete integrability criteria : Singularity confinement and algebraic entropy"CRM Proceedings and Lecture Notes. 29. 299-311 (2001)

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      2001 Annual Research Report
  • [Publications] Y.Ohta: "An affine Weyl group approach to the eight-parameter discrete Painleve equation"J. Phys. A : Math. Gen.. 34・48. 10523-10532 (2001)

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      2001 Annual Research Report
  • [Publications] S.Kakei: "A differential-difference system related to toroidal Lie algebra"J. Phys. A : Math. Gen.. 34・48. 10585-10592 (2001)

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      2001 Annual Research Report
  • [Publications] K.Kajiwara: "Determinant formulas for the Toda and discrete Toda equations"Funkcial. Ekvac.. 44・2. 291-307 (2001)

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      2001 Annual Research Report
  • [Publications] S.Seto: "Source identification of rural precipitation chemistry in Japan"Water, Air, and Soil Pollution : Int. J. Environmental Pollution. 130. 493-498 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] K.Iwase: "Estimation of the fifth percentile using a subset of order statistics"Measurement and Multivariate Analysis. ed. by S.Nishisato, Y.Baba, H.Bozdogan and K.Kanefuji. 217-226 (2001)

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      2001 Annual Research Report
  • [Publications] M.Shiba: "Analytic continuation beyond the ideal boundary in "Analytic Extension Formulas and their Applications""Kluwer Academic Publishers(分担執筆). 233-250 (2001)

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      2001 Annual Research Report
  • [Publications] M.Sato: "Source Apportionment in "The Encyclopedia of Environmetrics""Wiley(分担執筆). 2033-2036 (2002)

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      2001 Annual Research Report
  • [Publications] M.Shiba: "Analytic continuation beyond the ideal boundary"Kokyuroku, Res.Inst.Math.Sci., Kyoto Univ.. 1155. 120-127 (2000)

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      2000 Annual Research Report
  • [Publications] M.Shiba: "Some function-theoretic properties of the hyperbolic metric and a new construction of fundamental domains"Kokyuroku, Res.Inst.Math.Sci., Kyoto Univ.. 1163. 1-8 (2000)

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      2000 Annual Research Report
  • [Publications] M.Shiba: "Analytic continuation beyond the ideal boundary"Real and Complex Analysis, Proc.the third Japan-Korea Workshop, Ewha Womans University, Seoul, Korea (ed.by S.Y.Lee). 26-35 (2000)

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      2000 Annual Research Report
  • [Publications] M.Shiba: "Ideal fluid flows on a noncompact Riemann surface and analytic continuation beyond the ideal boundary"Real and Complex Analysis, Proc.the fourth Japan-Korea Workshop, Hiroshima University (ed.by M.Furushima et al.). 34-49 (2001)

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      2000 Annual Research Report
  • [Publications] M.Shiba: "Analytic continuation beyond the ideal boundary"to appear in "Analytic continuations and its applications" (ed.by S.Saitoh et al.). (2001)

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      2000 Annual Research Report
  • [Publications] G.Schmieder: "On the Mobius distance"Annales UMCS, Sec.A. 54・11. 125-131 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Y.M.Chung: "Topological entropy for differentible maps of intervals"to appear in Osaka J.Math.. 38. (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] T.Futamura: "A generalization of the Liouville theorem to polyharmonic functions"to appear in J.Math.Soc.Japan. 53. (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] Y.Mizuta: "Growth properties of spherical means for monotone BLD functions in the unit ball"Acad.Sci.Fenn.Ser.A.I.Math.. 25. 457-465 (2000)

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      2000 Annual Research Report
  • [Publications] Y.Mizuta: "Differentiability and Holder continuity of Riesz potentials of functions in Orlicz classes"Analysis. 20. 201-223 (2000)

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      2000 Annual Research Report
  • [Publications] Y.Mizuta: "Boundary limits of functions in weighted Lebesgue of Sobolev classes"to appear in Revue Roumaine Math.Pures Appl.. 45. (2000)

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      2000 Annual Research Report
  • [Publications] M.Nasu: "Endomorphisms of expansive systems on compact metric spaces and the pseudoorbit tracing property"Trans.Amer.Math.Soc.. 352. 4731-4757 (2000)

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      2000 Annual Research Report
  • [Publications] J.J.C.Nimmo: "Applications of Darboux tranformations to the self-dual Yang-Mills equations"Theor.Math.Phys.. 122・2. 239-246 (2000)

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      2000 Annual Research Report
  • [Publications] Y.Ohta: "Determinant and Pfaffian solutions for discrets soliton equations"CRM Proc.Lecture Notes. 25. 339-345 (2000)

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      2000 Annual Research Report
  • [Publications] 岡田泰典: "渦度・流れ関数法と移動格子法によるジャーナル・ベアリング流れの動的解析"日本機械学会論文集(B編). 66・643. 641-646 (2000)

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      2000 Annual Research Report
  • [Publications] J-H.Park: "Assimilation of coastal acoustic tomography data into a barotropic ocean model"Geophysical Res.Lett.. 27・20. 3373-3376 (2000)

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      2000 Annual Research Report
  • [Publications] T.Futamura: "A generalization of Bocher's theorem for polyharmonic functions"to appear in Hiroshima Math.J.. 31. (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] T.Futamura: "Existence of functions in weighted Sobolev spaces"to appear in Nagoya Math.J..

    • Related Report
      2000 Annual Research Report
  • [Publications] M.Ito: "Nonlinearity of energy of Rankine flows on a torus"to appear in J.Nonlinear Analysis : Ser.A.

    • Related Report
      2000 Annual Research Report
  • [Publications] K.Iwase: "Estimation of the fifth percentile using a subset of order statistics"Proc.the International Cconference on Mesurement and Multivariate. 2. 218-220 (2000)

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      2000 Annual Research Report
  • [Publications] 岩瀬晃盛: "SQC今さらこんなこと(その1〜その12)その1"標準化と品質管理. 53・4. 69-73 (2000)

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      2000 Annual Research Report
  • [Publications] 岩瀬晃盛: "SQC今さらこんなこと(その1〜その12)その12"標準化と品質管理. 54・3. 97-101 (2000)

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      2000 Annual Research Report
  • [Publications] F.Maitani: "Ahlfors-Rauch type variational formulas on complex manifolds"Mem.Fac.Engi.Des.Kyoto Inst.Tech.. 49. 17-38 (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] M.Masumoto: "Hyperbolic lengths and conformal embeddings of Riemann surfaces"Israel J.Math.. 116. 77-92 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] A.Ramani: "Discrete integrable systems from continuous Painleve equations through limiting procedures"Nonlinearity. 13・4. 1073-1086 (2000)

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      2000 Annual Research Report
  • [Publications] A.Ramani: "Linearizable mappings and the low-growth criterion"J.Phys.A : Math.Gen.. 33・31. L287-L292 (2000)

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      2000 Annual Research Report
  • [Publications] H.Tokunaga: "Numerical simulation of unsteady incompressible flow along multi-element aerofoil by unstrucrured grid coupled with finite volume and vorticity-stream function method"Numerical Grid Generation in Computational Field Simulations (ed.by B.K.Soni, et al., ISGG, Chateau Whsitler Resort, Canada). 25-28 (2000)

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      2000 Annual Research Report
  • [Publications] 柴雅和: "森北出版(株)"関数論講義. 283 (2000)

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      2000 Annual Research Report
  • [Publications] Y.-M. Chung: "Shadowing property of non-invertible maps with hyperbolic measures"Tokyo Journal Math.. 22. 145-166 (1999)

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      1999 Annual Research Report
  • [Publications] A. Otani: "Examination of the response bias related to the expressions of the questionnaire on SDS(Self-rating Depression Scale propose by Zung"The Japanese Journal of Behaviormetrics. 26. 34-45 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Y. Mizuta: "Boundary limits of spherical means for BLD and monotone BLD functions in the unit ball"Acad. Sd. Fenn. Ser. A. I. Math.. 26. 45-60 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Y. Mizuta: "Hyperplane integrals of BLD and monotone BLD functions"数理解析研究所講究録. 1116. 51-68 (1999)

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      1999 Annual Research Report
  • [Publications] T. Futamura: "A generalization of the Liouville theorem to polyharmonic functions"数理解析研究所講究録. 1116. 41-50 (1999)

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      1999 Annual Research Report
  • [Publications] M. Masumoto: "Extremal lengths of homology classes on Riemann surfaces"J. Reine Angew. Math.. 508. 17-45 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] R. Willox: "Quadrilateral lattices and eigenfunction potentials for N-component KP hierarchies"Phys. Lett. A. 252. 163-172 (1999)

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      1999 Annual Research Report
  • [Publications] M. J. Ablowitz: "On discretizations of the vector nonlinear Schrodinger equation"Phys. Lett. A. 253. 287-304 (1999)

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      1999 Annual Research Report
  • [Publications] K. M. Tamizhrnani: "Integrability criteria for differential-difference systems: A comparison of singularity confinement and low-growth requirements"J. Phys. A: Math. Gen.. 32. 6679-6685 (1999)

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      1999 Annual Research Report
  • [Publications] Y. Ohta: "Pfaffian solution for coupled discrete nonlinear Schrodinger equation"Chaos, Solitons and Fractals. 11. 91-95 (2000)

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      1999 Annual Research Report
  • [Publications] M. J. Ablowitz: "On integrability and chaos in discrete systems"Chaos. Solitons and Fractals. 11. 159-169 (2000)

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      1999 Annual Research Report
  • [Publications] X. Wang: "A note on Mobius transformations in space"Memo. Fac. Engi. Des. Kyoto Inst. Tech.. 47. 1-8 (1999)

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      1999 Annual Research Report
  • [Publications] M. Nasu: "Endomorphisms of expansive systems on compact metric spaces and the pseudorbit tracine property"Trans. Amer. Math. Soc.. (to appear). (2000)

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      1999 Annual Research Report
  • [Publications] S-K. Byum: "Current speed measurements by using ocean acoustic tomography of reciprocal sound transmission in the southern water of Koje Island"The Sea (J. Korean Soc. Oceanogr.). 4. 161-169 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Y. Yuan: "Tides and short-term variabilities in the Kuroshio west of Yonakuni-jima"Acta Oceanologica Sinica. 18. 311-324 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 柴雅和: "関数輪講義"森北出版. 288 (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] 水田義弘: "実解析入門-難度・積分・ソボレフ空間"培風館. (1999)

    • Related Report
      1999 Annual Research Report

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Published: 1999-04-01   Modified: 2016-04-21  

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