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United Study of Functional and Real Analysis

Research Project

Project/Area Number 09304018
Research Category

Grant-in-Aid for Scientific Research (A)

Allocation TypeSingle-year Grants
Section一般
Research Field 解析学
Research InstitutionScience University of Tokyo

Principal Investigator

OHYA Masanori  Science University of Tokyo, Faculty of Science and Technology, Professor, 理工学部, 教授 (90112896)

Co-Investigator(Kenkyū-buntansha) TAJIMA Shinichi  Niigata University, Faculty of Engineering, Associate Professor, 工学部, 助教授 (70155076)
KAWAMURA Shinzo  Yamagata University, Faculty of Science, Professor, 理学部, 教授 (50007176)
SANO Shigeru  Polytechnic University, Department of Liberal Arts & Sciences, Professor, 基礎学科, 教授
SATO Ryotaro  Okayama University, Faculty of Science, Professor, 理学部, 教授 (50077913)
辛崎 秀樹  九州大学, 大学院数理学研究科, 教授 (20186612)
竹中 茂夫  岡山理科大学, 理学部, 教授 (80022680)
Project Period (FY) 1997 – 1998
Project Status Completed (Fiscal Year 1998)
Budget Amount *help
¥24,700,000 (Direct Cost: ¥24,700,000)
Fiscal Year 1998: ¥10,700,000 (Direct Cost: ¥10,700,000)
Fiscal Year 1997: ¥14,000,000 (Direct Cost: ¥14,000,000)
Keywordsfunctional analysis / real analysis / theory of real variables / quantum mathematics / operator theory / operator algebras / representation theory and harmonic / partial differential equations
Research Abstract

Recent progress in the fields of Functional and Real Analysis has been traced, and we tried to synthesize many different results for the future development. We had 5 groups, that is, "real analysis", "quantum mathematics and operator theory", "representation theory and harmonic analysis", "operator algebra" and "functional analytic research of partial differential equations". Each group organized several seminars every year. As the whole, we organized a joint symposium and three times meetings every year so as to direct for the future research. The joint symposiums were held in Toho university on July 15-17 in 1998, in Ibaragi University on July 22-24 in 1997.
As an example, we mention the works on quantum information theory and complexity done by the group of quantum mathematics and operator theory. A synthesis of the dynamics of system and the complexity was studied under the name of information dynamics. In information dynamics we need many fundamental results in functional and real analysis such as operator algebras, differential equation, harmonic analysis, ergodic theory, where individual research are indispensable.

Report

(3 results)
  • 1998 Annual Research Report   Final Research Report Summary
  • 1997 Annual Research Report
  • Research Products

    (194 results)

All Other

All Publications (194 results)

  • [Publications] M.Ohya: "Foundation of entropy, complexity and fractal in quantum systems" Probability Towards 2000. 263-286 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.Ohya: "Complexities and their applications to characterization of chaos" International Journal of Theoretical Physics. 37・1. 495-505 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.Ohya, D.Petz and N.Watanabe: "Numerical computation of quantum capacity" International Journal of Theoretical Physics. 37・1. 507-510 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 井上 啓, 大矢雅則, 林治: "状態のフラクタル次元を用いた地震現象の解析" 日本応用数理学会論文誌. 8・2. 187-197 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.Ohya, K.Sato and S.Miyazaki: "Analysis of HIV by entropy evolution rate" Amino Acids. 14. 343-352 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.Ohya and N.Watanabe: "On Mathematical treatment of Fredkin-Toffoli-Milbum gate" Physica D. 20. 206-213 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.Ohya, K.Inoue and H.Suyari: "Characterization of quantum teleportation by nonlinear quantum channel and quantum mutual entropy" Physica D. 20. 117-124 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.Ohya and T.Matsuoka: "Fractal dimension of a state and their application to shape analysis problem" Chubu Forum for Mathematical Sciences. 4. 15-26 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.Ohya: "A Mathematical foundation of quantum information and quantum computer" The Proceeding of 3rd International Conference on Computational Intelligence and Neuroscience. 2. 209-217 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.Ohya and K.Inoue: "Chaos degree and its applications to quantum dynmical system" The Proceeding of 3rd International Conference on Computational Intelligence and Neuroscience. 2. 167-169 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] L.Accardi and M.Ohya: "Compound channels, transition expectations, and Iiftings" Appl.Math.Optim.39. 33-59 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 大矢雅則: "量子チャンネルの伝送容量について" 電子情報通信学会論文誌. 181-A・12. 1638-1643 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 菊池慶一, 渡邉昇, 大矢雅則: "結合チャネルの情報伝送効率について" 電子情報通信学会論文誌. 181-A・12. 1707-1714 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.Ohya: "Fundamentals of quantum mutual entropy and capacity" to appear in Open Systems and Information Dynamics.

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] R.Sato: "Vector valued differentiation theorems for multiparameter additive processes" Positivity. 2・1. 1-18 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] S.Tajima, T.Oaku and Y.Nakamura: "Multidimensional residue calculus and holonomic D-modules" 京都大学数理解析研究所講究録. 1033. 59-70 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] S.Tajima: "Hermite-Jacobi多変数補間積分とホロノミックD-加群" 京都大学数理解析研究所講究録. (掲載予定).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] S.Tajima: "An algorithm for computing Grothendieck residues" to appear in Proc.Hayama Symposium on Several Complex Variables.

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 大矢雅則編: "第37回実函数論・函数解析学合同シンポジウム講演集録" 128 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 佐野 茂編: "表現論シンポジウム報告集1998" 164 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 河村新蔵編: "作用素論・作用素環論研究集会報告集1998" 88 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 泉池敬司編: "関数環研究集会(1998)報告集" 87 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 井上純治編: "第7回関数空間セミナー報告集" 135 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 剣持信幸編: "第24回発展方程式研究会報告集" 95 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 大矢雅則編: "京都大学数理解析研究所講究録1066「量子確率論とエントロピー解析」" 238 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 大矢雅則, 渡邉昇: "量子通信理論の基礎・量子情報から光通信へ" 牧野書店, 291 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.Ohya: "Foundation of entropy, complexity and fractal in quantum systems" Probability Towards 2000. 263-286 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.Ohya: "Complexities and their applications to characterization of chaos" International Journal of Theoretical Physics. Vol.37, No.1. 495-505 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.Ohya, D.Petz and N.Watanabe: "Numerical computation of quantum capacity" International Journal of Theoretical Physics. Vol.37, No.1. 507-510 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Inoue, M.Ohya and M.Ohya: "An analysis of earthquake by means of fractal dimensions of a state (in Japanese)" JSIAM. Vol.8, No.2. 187-197 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.Ohya, K.Sato and S.Miyazaki: "Analysis of HIV by entropy evolution rate" Amino Acids. Vol.14. 343-352 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.ohya and N.Watanabe: "On Mathematical treatment of Fredkin-Toffoli-Milburn gate" Physica D. Vol.20. 206-213 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.Ohya, K.Inoue and H.Suyari: "Characterization of quantum teleportation by nonlinear quantum channel and quantum mutual entropy" Physica D. Vol.20. 117-124 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.Ohya and T.Matsuoka: "Fractal dimension of a state and their application to shape analysis problem" Chubu Forum for Mathematical Sciences. Vol.4. 15-26 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.Ohya: "A Mathematical foundation of quantum information and quantum computer-on quantum entropy and entanglement-" The Proceeding of 3rd International Conference on Computational Intelligence and Neuroscience. Vol.2. 209-217 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.Ohya and K.Inoue: "Chaos degree and its applications to quantum dynmical system" The Proceeding of 3rd International Conference on Computational Intelligence and Neuroscience. Vol.2. 167-169 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] L.Accardi and M.Ohya: "Compound channels, transition expectations, and liftings" Appl.Math.Optim.Vol.39. 33-59 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.Ohya: "On capacity of quantum channel (in Japanese)" IEICE. Vol.J81-A,No, 12. 1638-1643 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Kikuchi, N.Watanabe and M.Ohya: "On efficiency of information transmission for connected channel (in Japanese)" IEICE. Vol.J81-A,No.12. 1707-1714 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.Ohya: "Fundamentals of quantum mutual entropy and capacity" Open Systems and Information Dynamics. (to appear).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] R.Sato: "Vector valued differentiation theorems for multiparameter additive processes" Positivity. 2(1). 1-18 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] S.Tajima, T.Oaku and Y.Nakamura: "Multidimensional residue calculus and holonomic D-modules" RIMS Kokyuroku. 1033. 59-70 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] S.Tajima, and Y.Nakamura: "Residue calculus of rational function by differential operator and Horowitz's algorithm" RIMS Kokyuroku. 1038. 23-30 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] S.Tajima: "Hermite-Jacobi multivariable interpolation integrtal and holonomic D-modules" RIMS Kokyuroku. (to appear).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] S.Tajima: "An algorithm for computing Grothendieck residues" Proc.Hayama Symposium on Several Complex Variables. (to appear). (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.Ohya (ed.): The proceedings of the 37th joint symposium on theory of real variables and functional analysis. 128 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] S.Sano (ed): The proceedings of the symposium on representation theory. 164 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] S.Kawamura (ed.): The proceedings of the workshop on operator theory and operator algebras. 88 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Izuchi (ed.): The proceedings of the symposium on functional algebras. 87 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] J.Inoue (ed.): The proceedings of the 7th seminor on function spaces (Hokkaido Univ.Tech.Report Ser.57 in Math.). 135 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] N.Kenmochi (ed.): The proceedings of the 24th seminor on equation of evolution. 95 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.Ohya (ed.): The proceedings of the symposium on quantum probability theory and entropic analysis (RIMS Kokyuroku 1066). 238 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.Ohya and N.Watanabe: Foundations of quantum communication theory (in Japanese). Makino Publishers, 291 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.Ohya: "Foundation of entropy, complexity and fractal in quantum systems" Probability Towards 2000. 263-286 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] M.Ohya: "Complexities and their applications to characterization of chaos" International Journal of Theoretical Physics. 37・1. 495-505 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] M.Ohya, D.Petz and N.Watanabe: "Numerical computation of quantum capacity" International Journal of Theoretical Physics. 37・1. 507-510 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 井上 啓,大矢雅則,林治: "状態のフラクタル次元を用いた地震現象の解析" 日本応用数理学会論文誌. 8・2. 187-197 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] M.Ohya, K.Sato and S.Miyazaki: "Analysis of HIV by entropy evolution rate" Amino Acids. 14. 343-352 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] M.Ohya and N.Watanabe: "On Mathematical treatment of Fredkin-Toffoli-Milbum gate" Physica D. 20. 206-213 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] M.Ohya, K.Inoue and H.Suyari: "Characterization of quantum teleportation by nonlinear quantum channel and quantum mutual entropy" Physica D. 20. 117-124 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] M.Ohya and T.Matsuoka: "Fractal dimension of a state and their application to shape analysis problem" Chubu Forum for Mathematical Sciences. 4. 15-26 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] M.Ohya: "A Mathematical foundation of quantum information and quantum computer-on quantum entropy and entanglement-" The Proceeding of 3rd International Conference on Computational Intelligence and Neuroscience. 2. 209-217 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] M.Ohya and K.Inoue: "Chaos degree and its applications to quantum dynmical system" The Proceeding of 3rd International Conference on Computational Intelligence and Neuroscience. 2. 167-169 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] L.Accardi and M.Ohya: "Compound channels, transition expectations, and liftings" Appl.Math.Optim.39. 33-59 (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] 大矢雅則: "量子チャネルの伝送容量について" 電子情報通信学会論文誌. J81-A・12. 1638-1643 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 菊池慶一,渡邉昇,大矢雅則: "結合チャネルの情報伝送効率について" 電子情報通信学会論文誌. J81-A・12. 1707-1714 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] M.Ohya: "Fundamentals of quantum mutual entropy and capacity" to appear in Open Systems and Information Dynamics.

    • Related Report
      1998 Annual Research Report
  • [Publications] R.Sato: "Vector valued differentiation theorems for multiparameter additive processes" Positivity. 2・1. 1-18 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] S.Tajima,T.Oaku and Y.Nakamura: "Multidimensional residue calculus and holonomic D-modules" 京都大学数理解析研究所講究録. 1033. 59-70 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] S.Tajima: "Hermite-Jacobi多変数補間積分とホロノミックD-加群" 京都大学数理解析研究所講究録掲載予定.

    • Related Report
      1998 Annual Research Report
  • [Publications] S.Tajima: "An algorithm for computing Grothendieck residues" to appear in Proc.Hayama Symposium on Several Complex Variables.

    • Related Report
      1998 Annual Research Report
  • [Publications] 大矢雅則編: "第37回実函数論・函数解析学合同シンポジウム講演集録" 128 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 佐野 茂編: "表現論シンポジウム報告集1998" 164 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 河村新蔵編: "作用素論・作用素環論研究集会報告集1998" 88 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 泉池敬司編: "関数環研究集会(1998)報告集" 87 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 井上純治編: "第7回関数空間セミナー報告集" 135 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 剣持信幸編: "第24回発展方程式研究会報告集" 95 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 大矢雅則編: "京都大学数理解析研究所講究録1066「量子確率論とエントロピー解析」" 238 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 大矢雅則,渡邉昇: "量子通信理論の基礎-量子情報から光通信へ-" 牧野書店, 291 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] M.Ohya: "Complexity,fractal dimension for quantum states" Open systems and Information Dynamics. 4. 141-157 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] L.Accardi, M.Ohya and N.Watanabe: "Dynamical entropy through quantum Markov chains" Open systems and Information Dynamics. 4. 71-87 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] 大矢雅則, 須鎗弘樹, 古市茂: "スクイズド真空状態による誤り確率の改善" 電子情報通信学会論文誌. 180-A,No.5. 809-817 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] 大矢雅則, 須鎗弘樹, 樋口慶: "対称コンタクトプロセスによる二義錯視図形の解析" 電子情報通信学会論文誌. 180-A,No.6. 1022-1029 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] M.Ohya, D.Petz and N.Watanabe: "On capacities of quantum channels" Probability and Mathematical Statistics. 17. 179-196 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] S.Furuichi, M.Ohya and H.Suyari: "Computation of mutual entropy in quantum amplifier processes" Quantum Communication,Computing,and Measurement. 147-155 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] M.Ohya and N.Watanabe: "Quantum capacity of noisy quantum channel" Quantum Communication,Computing,and Measurement. 213-220 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] M.Ohya: "Complexities and their applications to characterization of chaos" to appear in International Journal of Theoretical Physics.

    • Related Report
      1997 Annual Research Report
  • [Publications] M.Ohya, D.Petz and N.Watanabe: "Numerical computation of quantum capacity" to appear in International Journal of Theoretical Phyasics.

    • Related Report
      1997 Annual Research Report
  • [Publications] M.Ohya and N.Watanabe: "On mathematical treatment of Fredkin-Toffoli-Milburn gate" to appear in Physica D.

    • Related Report
      1997 Annual Research Report
  • [Publications] K.Inoue, M.Ohya and H.Suyari: "Characterization of quantum teleportation processes by nonlinear quantum channel and quantum mutual entropy" to appear in Physica D.

    • Related Report
      1997 Annual Research Report
  • [Publications] N.Kenmochi and A.Damlamian: "Evolution equations associated with non-isothermal phase transitions" Functional Analysis and Global Analysis. 62-77 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] N.Kenmochi, A.Ito and N.Yamazaki: "Global attractors of time-dependent double obstacle problems" Functional Analysis and Global Analysis. 288-301 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] N.Kenmochi, A.Ito: "Asymptotic behaviour of solutions to non-isothermal phase separation model with constraints in one-dimensional space" to appear in J.Math.Soc.Japan.

    • Related Report
      1997 Annual Research Report
  • [Publications] N.Kenmochi, A.Ito and N.Yamazaki: "Attractors of nonlinear evolution systems generated by time-dependent subdifferentials in Hilbert spaces" to appear in Lecture Notes Pure Appl.Math.

    • Related Report
      1997 Annual Research Report
  • [Publications] N.Kenmochi, T.Koyama: "Parabolic PDE´s with hysteresis and quasivariational inequalities" to appear in Nonlinear Anal.TMA.

    • Related Report
      1997 Annual Research Report
  • [Publications] N.Kennmochi and A.Damlamian: "Evolution equations associated with non-isothermal phase separation:Subdifferential approach" to appear in Ann.Mat.Pura Appl.

    • Related Report
      1997 Annual Research Report
  • [Publications] N.Kennmochi, K.Shirakawa, A.Ito and N.Yamazaki: "Asymptotic stability for evolution equations governed by subdifferentials" to appear in Gakuto Intern.Ser.Math.Sci.Appl.11. (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] T.Ando and K.Okubo: "Holder type inequalities associated with operator radii and Schur products" Linear and Multilinear Algebra. 43. 53-61 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] M.Fujii and N.Nakamura: "An application of operator means arising from a study on Wazan" Math.Japon. 46. 385-386 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] T.Furuta: "Equivalence relations among Reid,Lοwner-Heinz and Heinz-Kato inequalities,and extensions of these inequalities" Integral equations and Operator Theory. 29. 1-9 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] K.Izuchi and S.Takagasi: "BKW-oparators on the interval" Rend.circ,Mat.Palcrmo (2). 46. 477-489 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] E.Kamei: "Complements to the Furuta inequality,II" Math.Japon. 45(1). 15-23 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] M.Kato and T.Takahashi: "On the von Neumann-Jordan constants to Banach spaces" Proc.Amer.Math.soc. 125. 1055-1062 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] T.Nakazi: "The commutator ideal in Toeplitz algebras for uniform algebras and the analytic structure" Arch Math.69. 221-226 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] S.Takahasi and O.Hatori: "A structure of ring homomorphidmd on commutative Banach alegebras" to appear in Proc.Amer.Math.Soc.

    • Related Report
      1997 Annual Research Report
  • [Publications] T.Ando and F.Hiai: "Hοlder type inequalities for matrices" to appear in Math.Ineq.Appl.

    • Related Report
      1997 Annual Research Report
  • [Publications] M.Choda and T.Natsume: "Reduced C'-crossed products by free shifts" to appear in Ergod,Th.and Dynam.Sys.

    • Related Report
      1997 Annual Research Report
  • [Publications] M.Fujii, F.Jiang,and E.Kamei: "Characterization of chaotic order and its application to Furuta inequality" to appear in Proc.Amer.Math.Soc.

    • Related Report
      1997 Annual Research Report
  • [Publications] Y.Gotoh: "On global integrability of BMO functions on general domains" to appear in J.Anal.Math.

    • Related Report
      1997 Annual Research Report
  • [Publications] O.Hatori and K.Izuchi: "Apostol algebras and decomposition in Douglas algebras" to appear in Michigan Math.J.

    • Related Report
      1997 Annual Research Report
  • [Publications] M.Hayashi and T.Kato: "Point separation of a two-sheeted disc by bounded analytic functions" to appear in Hokkaido Math.J.

    • Related Report
      1997 Annual Research Report
  • [Publications] F.Hiai: "Standard invariants for crossed products inclusions of factors" Pacific J.Math.177. 237-267 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] F.Hiai and M.Izumi: "Amenability and strong amenability for fusion algebras with applications to subfactors" to appear in Internat.J.Math.

    • Related Report
      1997 Annual Research Report
  • [Publications] Y.Iida and N.Mochizuki: "Isometries of some F-algebras of holomorphic functions" to appear in Arch. Math.

    • Related Report
      1997 Annual Research Report
  • [Publications] K.Izuchi: "Sequential type Korovkin theorem on 1^∞ for QC-test functions" Proc.Amer.Math.Soc.125. 1153-1159 (1997)

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      1997 Annual Research Report
  • [Publications] K.Izuchi and Y.Matsugu: "A^φ invariant subspaces on the torus" to appear in Canad.J.Math.

    • Related Report
      1997 Annual Research Report
  • [Publications] K.Izuchi and S.Ohno: "Selfadjoint commutators and invariant subspaces on the torus II" Integral Eq.Op.Th.27. 208-220 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] M.Izumi: "Subalgebras of infinite C^*-lagebras with finite Watatani indices:II.Cuntz-Krieger algebras" to appear in Duke Math.J.

    • Related Report
      1997 Annual Research Report
  • [Publications] T.Kajiwara, C.Pinzari and Y.Watatani: "Ideal structure and simplicity of the C^*-algebras generated by Hilbert bimodules" to appear in J.Funct.Anal.

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      1997 Annual Research Report
  • [Publications] Y.Katayama, K.Matsumoto and Y.Watatani: "Simple C^*-algebras arizing from β-expansion of real numbers" to appear in Ergod.Th.and Dynam.Sys.

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      1997 Annual Research Report
  • [Publications] Y.Kawahigashi: "Classification of approximately inner automorphisms of subfactors" Math.Ann.308. 425-438 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] S.Kawamura: "Covariant representations associated with chaotic dynamical systems" Tokyo J.Math.20. 205-217 (1997)

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      1997 Annual Research Report
  • [Publications] H.Kosaki, A.Munemasa,and S.Yamagami: "On fusion algebras associated to finite group actions" Pacific J.Math.177. 269-290 (1997)

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  • [Publications] H.Kurose and Y.Nakagami: "Compact Hopf *-algebras quantum enveloping algebras and dual Woronowicz algebras for quantum Lorentz groups" to appear in Internat.J.Math.

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      1997 Annual Research Report
  • [Publications] T.Nakazi and Y.Watatani: "Invariant subspace theorems for subdiagonal algebras" J.Operator Theory. 37. 379-395 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] T.Kobayashi: "Discrete decomponsability of the restriction of Aq(λ) with respect to reductive subgroups II--microlocal analysis and asymptotic K-support" to appear in Annals of Math.

    • Related Report
      1997 Annual Research Report
  • [Publications] T.Kobayashi: "Discrete decomponsability of the restriction of Aq(λ) with respect to reductive subgroups III--restriction of Harish-Chandra modules and associated varieties" to appear in Invent.Math.

    • Related Report
      1997 Annual Research Report
  • [Publications] T.Kobayashi: "Discrete series representations for the orbit spaces arising from two involutions of real reductive Lie groups" to appear in J.Funct.Anal.

    • Related Report
      1997 Annual Research Report
  • [Publications] K.Nishiyama: "Redyctuve dual pair and Weil representation" Proceding of Summer School on Number Theorey. 63-88 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] T.Umeda: "Newton's formula for gl_n" to appear in Proc.Amer.Math.Soc.

    • Related Report
      1997 Annual Research Report
  • [Publications] T.Nakajima and H.F.Yamda: "On reduced Q-functions" Hiroshima M.J.27. 407-414 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] T.Tanisaki and S.-J.Kang: "Universal R-matrices and the center of the quantum generalized Kac-Moody algebras" Hiroshima Mathematical Journal.27・2. 347-360 (1997)

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      1997 Annual Research Report
  • [Publications] K.Hasegawa: "Ruijsenaars' commuting differnce operators as commuting transfer matrices" Comm.Math.Phys.187. 289-325 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] A.Antonov, K.Hasegawa and A.Zabrodin: "On trigonometric intertwining vectors and non-dynamical R-matrix for the Ruijsenaars model" Nuclear Physics B. 503. 747-770 (1997)

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  • [Publications] K.Kumahara: "On non-unitary induced representations of a generalized Heisenberg group" Mathematica Japonica. 46. 5-14 (1997)

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      1997 Annual Research Report
  • [Publications] K.Kikuchi: "K-spherical representations for Gelfand pairs associated to solvable Lie groups" J.Math.Soc.Japan. 49. 469-486 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] T.Hashimoto: "Integrability of one-parameter groups generated by the Virasoro operators" J.Funct.Anal.149. 178-199 (1997)

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      1997 Annual Research Report
  • [Publications] T.Kobayashi: "Invariant measures on homogeneous manifolds of reductive type" J.reine und angew.Math.490. 37-53 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] T.Aoki: "Multiple-scale analysis for Painleve´ transcendents with a large parameter" Differential Geometry and Mathmatical Physics. 39. 11-17 (1997)

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      1997 Annual Research Report
  • [Publications] A.Arai: "A class of representations of the *-algebra of the canonical commutation relations over a Hilbert space and instability of embedded eigenvalues in quantum field models" J.Nonlinear Math.Phys.4. 338-349 (1997)

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      1997 Annual Research Report
  • [Publications] K.Fujita and M.Morimoto: "Spherical Fourier-Borel transformation" Functional analysis and global analysis. 78-87 (1997)

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      1997 Annual Research Report
  • [Publications] T.Hishida: "On a class of stable steady flows to the exterior convection problem" Journal of Differential Equations. 140.

    • Related Report
      1997 Annual Research Report
  • [Publications] T.Ichinose and T.Satoshi: "Estimate of the difference between the Kac operator and the Schrodinger semigroup" Commun.Math.Phys.186. (1997)

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      1997 Annual Research Report
  • [Publications] Y.Ito: "Theory of Fourier microfunctions of several types (III)" to appear in Journal of Mathematics,Tokushima University. 31. 29-61 (1997)

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      1997 Annual Research Report
  • [Publications] T.Kako and L.Deng: "Finite element approximation of eigenvalue problem for a coupled vibration berween acoustic field and plate" J.Comput.Math.15・3. 265-278 (1997)

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      1997 Annual Research Report
  • [Publications] J.Kamimoto: "Singularities of the Bergman kernel for certain weakly pseudoconvex domains" to appear in Journal of Mathematical Sciences,the University of Tokyo.

    • Related Report
      1997 Annual Research Report
  • [Publications] T.Kawai and H.P.Stapp: "On infrared singularities" New Trends in Microlocal Analysis,Springer. 117-123 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] T.Kobayashi: "Invariant measures on homogeneous manifolds of reductive type" J.reine und angew.Math.490. 37-53 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] K.Kurata: "A unique continuation theorem for the Schrodinger equation with singular magnetic field" Proc.A.M.S.125. 853-860 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] A.Miyachi: "Atomic decomposition for Sobolev spaces and for the C^a_p spaces on general domains" Tsukuba J.Math.21. 59-96 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] S.Moritoh: "Wavelet transforms and operators in various function spaces" New Trends in Microlocal Analysis. 59-68 (1997)

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      1997 Annual Research Report
  • [Publications] T.Oaku: "Algorithms for b-functions,reductions,and algebraic local cohomology groups of D-modules" Advances in Appl.Math.19. 61-105 (1997)

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      1997 Annual Research Report
  • [Publications] S.Omata, T.Okamura and K.Nakane: "Numerical analysis for the discrete Morse semiflow related to the Ginzburg Landau functional" to appear in Nonlinear World.

    • Related Report
      1997 Annual Research Report
  • [Publications] T.Suzuki and N.Mizoguchi: "Equations of gas combustion:S-shaped bifurcation and mushrooms" J.Differential Equations. 134. 183-215 (1997)

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      1997 Annual Research Report
  • [Publications] H.Tahara and R.Gerard: "Formal power series solutions of nonlinear first order partial differential equations" to appear in Funkcialaj Ekvacioj.

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      1997 Annual Research Report
  • [Publications] K.Taira: "Feller semigroups and Maarkov processes" Computational and Applied Mathematics. 16. 53-96 (1997)

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      1997 Annual Research Report
  • [Publications] S.Tajima: "Direct image of the de Rham system associated with a rational double point" Differential Geometry and Mathematical Physics. 39. 155-160 (1997)

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      1997 Annual Research Report
  • [Publications] K.Takasaki: "Dual isomonodromic problems and Whitham equations" to appear in Lett.Math.Phys.

    • Related Report
      1997 Annual Research Report
  • [Publications] Y.Takei and T.Kawai: "WKB analysis of Painleve transcendents with a large parameter.III---Local reduction of 2-parameter Painleve transcendents" to appear in Adv.in Math.

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      1997 Annual Research Report
  • [Publications] K.Takeuchi: "Edge-of-the-Wedge type theorems for hyperfunction solutions" Duke Math.J.89・1. 109-132 (1997)

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      1997 Annual Research Report
  • [Publications] Y.Tsutsumi, J.Ginibre and G.Velo: "On the Cauchy problem for the Zakharov system" to appear in J.Funct.Anal.

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      1997 Annual Research Report
  • [Publications] H.Watanabe: "The initial-boundary value problems for the heat operator in non-cylindrical domains" J.Math.Soc.Japan. 49・3. 399-430 (1997)

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      1997 Annual Research Report
  • [Publications] S.Takahashi, Y.Takahashi, O.Hatori and K.Tanahashi: "Commutative Banach algebras and BSE-norm" Math.Japonica.46(2). 273-277 (1997)

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  • [Publications] Y.Takahashi and M.Kato: "On the von Neumann-Jordan constant for Banach apaces" Proc.Amer.Math.Soc.125(4). 1055-1062 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] N.Tanaka and H.Oka: "Abstract quasilinear integrodifferential equations of hyperbolic type" Nonlinear Anal.29. 903-925 (1997)

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      1997 Annual Research Report
  • [Publications] K.Yanagi and H.W.Chen: "On the Cover's conjecture on capacity of Gaussian channel with feedback" IEICE Trans.Fundamentals.80-A(11). 2272-2275 (1997)

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      1997 Annual Research Report
  • [Publications] K.Yoneda: "An application of Walsh Fourier analysis to weakly stationary processes" Acta Math.Hungar.76(4). 303-335 (1997)

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      1997 Annual Research Report
  • [Publications] H.Arai: "Morrey apaces and applications to hypoelliptic equations on Cauchy-Riemann manifolds" to appear in Proc.intern.Conf.on Aspects of Math.

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      1997 Annual Research Report
  • [Publications] S.Hasegawa and R.Sato: "On a d-parameter ergodic theorem for continuous semigroups of operators satifying norm conditions" Comment.Math.Univ.Carolinae. 38. 433-462 (1997)

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  • [Publications] S.Igari: "The Kakeya maximal operator with a special base" Approx.Theory and Appl.13. 1-7 (1997)

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      1997 Annual Research Report
  • [Publications] Y.Kanjin: "Hardy's inequalities for Hermite and Laguerre expansions" Bill.London Math.Soc.29. 331-337 (1997)

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      1997 Annual Research Report
  • [Publications] H.Kita: "On Hardy-Littlewood maximal functions in Orlicz spaces" Math.Nach.183. 135-155 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] A.Miyachi: "Atomic decomposition for Sobolev spaces and for the C^a_p spaces on general domains" Tukuba Journal of Mathematics. 21(1). 59-96 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] I.Miyamoto and Y.Okuyama: "On the double Norlund Summability of double Fourier series" Tamkang J.Math.22(2). 133-144 (1997)

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      1997 Annual Research Report
  • [Publications] H.Mizumachi and H.Sato: "Absolute continuity of similar translations" Journal of Kyoto University. 37. 317-326 (1997)

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  • [Publications] E.Nakai and K.Yabuta: "Pointwise multipliers for functions of weighted bounded mean oscillation on spaces of homogeneous type" Mathematica Japonica. 46. 15-28 (1997)

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  • [Publications] T.Nishishiraho: "Korovkin sets and mean ergodic theorems" to appear in I.Convex.Anal.

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      1997 Annual Research Report
  • [Publications] N.Ogata: "On the absolute convergence of lacunary Fourier series" to appear in Mathematica Japonica.48. (1998)

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  • [Publications] 大矢 雅則 編: "第36回実函数論・函数解析学合同シンポジウム講演集録" 147 (1998)

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  • [Publications] 佐藤亮太郎 編: "実解析学シンポジウム 1997仙台" 214 (1997)

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  • [Publications] 剣持 信幸 編: "第23回 発展方程式研究会報告集" 95 (1997)

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  • [Publications] 井上 純治 編: "第6回関数空間セミナー報告集" (1998)

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  • [Publications] 竹中 茂夫 編: "1997年度表現論シンポジウム報告集" 153 (1997)

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  • [Publications] 辛崎 秀樹 編: "「作用素論・作用素環論」研究集会報告集" 51 (1997)

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  • [Publications] 辛崎 秀樹 編: "「関数環論」研究集会報告集" (1997)

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  • [Publications] R.S.Ingarden, A.Kossakowski and M.Ohya: "Information Dynamics and Open Systems" Kluwer Academic Publishers, 320 (1997)

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  • [Publications] 堀田良之: "環と体1 岩波講座 現代数学の基礎15" 岩波書店, (1997)

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  • [Publications] 新井朝雄: "ヒルベルト空間と量子力学" 共立出版, (1997)

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  • [Publications] 新井朝雄, 杉浦光夫 編: "物理学の諸公理の数学的扱い(担当部分,pp.57--70)" 日本評論社, (1997)

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  • [Publications] 新井朝雄, 荒木不二洋 編: "数理物理への誘い「ゲージ理論における正準交換関係の表現とアハラノフボ-ム効果」(担当部分,pp.165--190)" 遊星社, (1997)

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  • [Publications] 石村隆一: "層の超局所理論と微分方程式" 千葉大学数学セミナリーノートNo1, (1997)

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  • [Publications] 倉田和浩, 村田實: "偏微分方程式1" 岩波講座現代数学の基礎, (1997)

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  • [Publications] K.Taira: "Brownian motion and index formulas for the de Rham complex" Mathematical Research,WILEY-VCH Verlag, (1998)

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  • [Publications] S.Tajima: "Geometric Phases and Bloch Electrons" SPS-DOST Lecture Notes in Mathematics,vol5,63, (1997)

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      1997 Annual Research Report

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Published: 1997-04-01   Modified: 2016-04-21  

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