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New smoothness conditions on Riesz spaces with applications to nonadditive measures and Choquet integrals

Research Project

Project/Area Number 20540163
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Basic analysis
Research InstitutionShinshu University

Principal Investigator

KAWABE Jun  Shinshu University, 工学部, 教授 (50186136)

Co-Investigator(Renkei-kenkyūsha) KIMURA Morishige  信州大学, 工学部, 教授 (00026345)
TAKANO Kazuhiko  信州大学, 全学教育機構, 教授 (80252063)
YAMASAKI Motohiro   (30021017)
OHNO Hiromichi  信州大学, 工学部, 准教授 (90554585)
SUZUKI Akito  信州大学, 工学部, 助教 (70585611)
Project Period (FY) 2008 – 2010
Project Status Completed (Fiscal Year 2010)
Budget Amount *help
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2010: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2009: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2008: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Keywords非加法的測度 / ショケ積分 / リース空間 / 漸近的エゴロフ性 / 多重エゴロフ性 / 単調関数連続性条件 / ショケ積分の収束定理 / 歪直積測度 / 一様漸近的零加法性 / 共単調加法性 / リース型積分表示定理 / 完全連続性 / 漸近零加法性 / 弱漸近零加法性 / 歪直積 / 単調収束定理 / 一様自己連続性
Research Abstract

It is well known that the ε-δargument plays an important role in the proof of many theorems in nonadditive measure theory and in Choquet integration theory. That is why new concepts and techniques for proving are required to develop these studies for Riesz space-valued nonadditive measures. In this research, Riesz space-valued nonadditive measure theory and their Choquet integration thoery are developed with the help of new smoothness conditions on Riesz spaces such as the asymptotic Egoroff property, the multiple Egoroff property, and the monotone function continuity property.

Report

(4 results)
  • 2010 Annual Research Report   Final Research Report ( PDF )
  • 2009 Annual Research Report
  • 2008 Annual Research Report
  • Research Products

    (70 results)

All 2011 2010 2009 2008 Other

All Journal Article (29 results) (of which Peer Reviewed: 15 results) Presentation (37 results) Remarks (4 results)

  • [Journal Article] The continuity and compactness of Riesz space-valued indirect product measures2011

    • Author(s)
      河邊淳
    • Journal Title

      Fuzzy Sets and Systems 175

      Pages: 65-74

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] A study of Riesz space-valued non-additive measures2010

    • Author(s)
      河邊淳
    • Journal Title

      Advances in Intelligent and Soft Computing 68

      Pages: 91-102

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] New smoothness conditions on Riesz spaces with applications to Riesz space-valued non-additive measures and their Choquet integrals, Real Analysis Exchange2010

    • Author(s)
      河邊淳
    • Journal Title

      Summer Symposium 34

      Pages: 63-66

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Regularities of Riesz space-valued non-additive measures with applications to convergence theorems for Choquet integrals2010

    • Author(s)
      河邊淳
    • Journal Title

      Fuzzy Sets and Systems 161

      Pages: 642-650

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Riesz空間の新正則性条件と非加法的測度への応用:Alexandroff定理2010

    • Author(s)
      河邊淳
    • Journal Title

      京都大学数理解析研究所講究録 1683

      Pages: 54-61

    • Related Report
      2010 Final Research Report
  • [Journal Article] 共単調加法性によるショケ積分の特徴付け2010

    • Author(s)
      相馬匡博, 河邊淳
    • Journal Title

      第15回曖昧な気持ちに挑むワークショソプ講演論文集 15

      Pages: 7-8

    • Related Report
      2010 Final Research Report
  • [Journal Article] A study of Riesz space-valued non-additive measures2010

    • Author(s)
      Jun Kawabe
    • Journal Title

      Advances in Intelligent and Soft Computing

      Volume: 68 Pages: 91-102

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] New smoothness conditions on Riesz spaces with applications to Riesz space-valued non-additive measures and their Choquet integrals2010

    • Author(s)
      Jun Kawabe
    • Journal Title

      Real Analysis Exchange, Summer Symposium

      Volume: 34 Pages: 63-66

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Riesz空間の新正則性条件と非加法的測度への応用:Alexandroff定理2010

    • Author(s)
      河邊淳
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 1683 Pages: 54-61

    • Related Report
      2010 Annual Research Report
  • [Journal Article] 共単調加法性によるショケ積分の特徴付け2010

    • Author(s)
      相馬匡博
    • Journal Title

      第15回曖昧な気持ちに挑むワークショップ講演論文集

      Volume: 15 Pages: 7-8

    • Related Report
      2010 Annual Research Report
  • [Journal Article] Regularities of Riesz space-valued non-additive measures with applications to convergence theorems for Choquet integrals2010

    • Author(s)
      Jun Kawabe
    • Journal Title

      Fuzzy Sets and Systems 161

      Pages: 642-650

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Continuity and compactness of the indirect product of two non-additive measures2009

    • Author(s)
      河邊淳
    • Journal Title

      Fuzzy Sets and Systems 160

      Pages: 1327-1333

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] 非加法的周辺測度をもつ歪直積の連続性とコンパクト性2009

    • Author(s)
      河邊淳
    • Journal Title

      京都大学数理解析研究所講究録 1630

      Pages: 64-69

    • Related Report
      2010 Final Research Report 2009 Annual Research Report
  • [Journal Article] 有限加法的測度の加法的拡大定理の別証明2009

    • Author(s)
      相馬匡博, 河邊淳
    • Journal Title

      第14回曖味な気持ちに挑むワークショソプ講演論文集 14

      Pages: 65-66

    • Related Report
      2010 Final Research Report
  • [Journal Article] 距離空間上の非加法的測度の性質:台と完全性2009

    • Author(s)
      二又川透, 河邊淳
    • Journal Title

      第14回曖昧な気持ちに挑むワークショップ講演論文集 14

      Pages: 67-68

    • Related Report
      2010 Final Research Report
  • [Journal Article] Continuity and compactness of the indirect product of two non-additive measures2009

    • Author(s)
      Jun Kawabe
    • Journal Title

      Fuzzy Sets and Systems 160

      Pages: 1327-1333

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 有限加法的測度の加法的拡大定理の別証明2009

    • Author(s)
      相馬匡博
    • Journal Title

      第14回曖昧な気持ちに挑むワークショップ講演論文集 14

      Pages: 65-66

    • Related Report
      2009 Annual Research Report
  • [Journal Article] 距離空間上の非加法的測度の性質:台と完全2009

    • Author(s)
      二又川透
    • Journal Title

      第14回曖昧な気持ちに挑むワークショップ講演論文集 14

      Pages: 67-68

    • Related Report
      2009 Annual Research Report
  • [Journal Article] The Choquet integral in Riesz space2008

    • Author(s)
      河邊淳
    • Journal Title

      Fuzzy Sets and Systems 159

      Pages: 629-645

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Some properties on the regularity of Riesz space-valued non-additive measures2008

    • Author(s)
      河邊淳
    • Journal Title

      Banach and function spaces (M.Kato and L.Maligranda, eds.)

      Pages: 337-348

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Strassen's marginal problems for vector-valued measures-a short survey2008

    • Author(s)
      河邊淳, 長谷部有哉
    • Journal Title

      京都大学数理解析研究所講究録 1585

      Pages: 51-64

    • Related Report
      2010 Final Research Report
  • [Journal Article] リース空間におけるショケ積分の定式化とその収束定理2008

    • Author(s)
      河邊淳
    • Journal Title

      京都大学数理解析研究所講究録 1615

      Pages: 6-19

    • Related Report
      2010 Final Research Report 2008 Annual Research Report
  • [Journal Article] 非加法的測度の正則性とショケ積分の単調収束定理2008

    • Author(s)
      二又川透, 河邊淳
    • Journal Title

      第13回曖昧な気持ちに挑むワークショップ講演論文集 13

      Pages: 11-12

    • Related Report
      2010 Final Research Report
  • [Journal Article] ある種の漸近的零加法性をもっ歪直積の連続性とコンパクト性2008

    • Author(s)
      長谷部有哉, 河邊淳
    • Journal Title

      第13回曖味な気持ちに挑むワークショップ講演論文集 13

      Pages: 13-14

    • Related Report
      2010 Final Research Report
  • [Journal Article] The Choquet integral in Riesz space2008

    • Author(s)
      Jun Kawabe
    • Journal Title

      Fuzzy Sets and Systems 159

      Pages: 629-645

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Some properties on the regularity of Riesz space-valued non-additive measures2008

    • Author(s)
      Jun Kawabe
    • Journal Title

      Banach and function spaces (M. Kato and L. Maligranda, eds. )

      Pages: 337-348

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Strassen's marginal problems for vector-valued measures-a short survey2008

    • Author(s)
      Jun Kawabe
    • Journal Title

      京都大学数理解析研究所講究録 1585

      Pages: 51-64

    • Related Report
      2008 Annual Research Report
  • [Journal Article] 非加法的測度の正則性とショケ積分の単調収束定理2008

    • Author(s)
      二又川透
    • Journal Title

      第13回曖昧な気持ちに挑むワークショップ講演論文集

      Pages: 11-12

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] ある種の漸近的零加法性をもっ歪直積の連続性とコンパクト性2008

    • Author(s)
      長谷部有哉
    • Journal Title

      第13回曖昧な気持ちに挑むワークショップ講演論文集

      Pages: 13-14

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Presentation] 共単調加法的非線形汎関数の非加法的測度による積分表示2011

    • Author(s)
      河邊淳
    • Organizer
      京都大学数理解析研究所研究集会「バナッハ空間論の研究とその周辺」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2011-02-15
    • Related Report
      2010 Annual Research Report 2010 Final Research Report
  • [Presentation] 共単調加法的非線形汎関数のショケ積分表示2010

    • Author(s)
      河邊淳
    • Organizer
      京都大学数理解析研究所研究集会「独立性と従属性の数理-函数解析学の視点から」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2010-12-21
    • Related Report
      2010 Final Research Report
  • [Presentation] 共単調加法的非線形汎関数のショケ積分表示2010

    • Author(s)
      河邊淳
    • Organizer
      京都大学数理解析研究所研究集会「独立性と従属性の数理-函数解析学の視点から-」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2010-12-21
    • Related Report
      2010 Annual Research Report
  • [Presentation] The bounded convergence theorem and the autocontinuity of Riesz space-valued non-additive measures2010

    • Author(s)
      河邊淳
    • Organizer
      実解析学シンポジウム2010
    • Place of Presentation
      九州工業大学戸畑キャンパス
    • Year and Date
      2010-11-14
    • Related Report
      2010 Final Research Report
  • [Presentation] The bounded convergence theorem and the autocontinuity of Riesz space-valued non-additive measures2010

    • Author(s)
      河邊淳
    • Organizer
      実解析学シンポジウム2010
    • Place of Presentation
      九州工業大学戸畑ヤンパス
    • Year and Date
      2010-11-14
    • Related Report
      2010 Annual Research Report
  • [Presentation] 共単調加法性によるショケ積分の特徴付け,日本知能情報ファジィ学会評価問題研究部会2010

    • Author(s)
      相馬匡博
    • Organizer
      第15回曖昧な気持ちに挑むワークショップ
    • Place of Presentation
      関西大学飛鳥文化研究所
    • Year and Date
      2010-10-22
    • Related Report
      2010 Final Research Report
  • [Presentation] 共単調加法性によるショケ積分の特徴付け2010

    • Author(s)
      相馬匡博
    • Organizer
      日本知能情報ファジィ学会評価問題研究部会第15回曖昧な気持ちに挑むワークショップ
    • Place of Presentation
      関西大学飛鳥文化研究所
    • Year and Date
      2010-10-22
    • Related Report
      2010 Annual Research Report
  • [Presentation] The bounded convergence theorem for Riesz space-valued non-additive measures2010

    • Author(s)
      河邊淳
    • Organizer
      日本数学会秋季総合分科会・実函数論分科会
    • Place of Presentation
      名古屋大学東山キャンパス
    • Year and Date
      2010-09-24
    • Related Report
      2010 Final Research Report
  • [Presentation] The bounded convergence theorem for Riesz space-valued non-additive measures2010

    • Author(s)
      河邊淳
    • Organizer
      2010日本数学会秋季総合分科会・実函数論分科会
    • Place of Presentation
      名古屋大学東山キャンパス
    • Year and Date
      2010-09-24
    • Related Report
      2010 Annual Research Report
  • [Presentation] New smoothness conditions on Riesz spaces with applications to Riesz space-valued non-additive measures and their Choquet integrals2010

    • Author(s)
      河邊淳
    • Organizer
      Summer Symposium in Real Analysis XXXIV
    • Place of Presentation
      The College of Wooster, Wooster, Ohio.
    • Year and Date
      2010-07-15
    • Related Report
      2010 Final Research Report
  • [Presentation] New smoothness conditions on Riesz spaces with applications to Riesz space-valued non-additive measures and their Choquet integrals2010

    • Author(s)
      Jun Kawabe
    • Organizer
      Summer Symposium in Real Analysis XXXIV
    • Place of Presentation
      The College of Wooster, Wooster, Ohio
    • Year and Date
      2010-07-15
    • Related Report
      2010 Annual Research Report
  • [Presentation] A study of Riesz space-valued non-additive measures2010

    • Author(s)
      河邊淳
    • Organizer
      International Symposium on Integrated Uncertainty Management and Applications 2010
    • Place of Presentation
      北陸先端科学技術大学院大学
    • Year and Date
      2010-04-11
    • Related Report
      2010 Final Research Report
  • [Presentation] A Study of Riesz Space-valued Non-additive Measures2010

    • Author(s)
      Jun Kawabe
    • Organizer
      Inernational Symposium on Integrated Uncertainty Management and Applications 2010
    • Place of Presentation
      北陸先端科学技術学院大判
    • Year and Date
      2010-04-11
    • Related Report
      2010 Annual Research Report
  • [Presentation] 有限加法的測度の加法的拡大定理の別証明,日本知能情報ファジィ学会評価問題研究部会2009

    • Author(s)
      相馬匡博
    • Organizer
      第14回曖昧な気持ちに挑むワークショップ
    • Place of Presentation
      関東学院大学関内メディアルセンター
    • Year and Date
      2009-11-07
    • Related Report
      2010 Final Research Report
  • [Presentation] 距離空間上の非加法的測度の性質:台と完全性,日本知能情報ファジィ学会評価問題研究部会2009

    • Author(s)
      二又川透
    • Organizer
      第14回曖昧な気持ちに挑むワークショップ
    • Place of Presentation
      関東学院大学関内メディアルセンター
    • Year and Date
      2009-11-07
    • Related Report
      2010 Final Research Report
  • [Presentation] 有限加法的測度の加法的拡大定理の別証明2009

    • Author(s)
      相馬匡博
    • Organizer
      第14回曖昧な気持ちに挑むワークショップ
    • Place of Presentation
      関東学院大学関内メディアルセンター,横浜
    • Year and Date
      2009-11-07
    • Related Report
      2009 Annual Research Report
  • [Presentation] 距離空間上の非加法的測度の性質:台と完全性2009

    • Author(s)
      二又川透
    • Organizer
      第14回曖昧なす気持ちに挑むワークショップ
    • Place of Presentation
      関東学院大学関内メディアルセンター,横浜
    • Year and Date
      2009-11-07
    • Related Report
      2009 Annual Research Report
  • [Presentation] New smoothness conditions on Riesz space with applications to non-additive measure theory2009

    • Author(s)
      河邊淳
    • Organizer
      Sixth edition of the International Conference on Positivity and Its Applications
    • Place of Presentation
      El Escorial, Spain.
    • Year and Date
      2009-07-24
    • Related Report
      2010 Final Research Report
  • [Presentation] New smoothness conditions on Riesz space with applications tonon-additive measure theory2009

    • Author(s)
      Jun Kawabe
    • Organizer
      Sixth edition of the International Conference on Positivity and its Applications (Positivity VI)
    • Place of Presentation
      El Escorial, Spain
    • Year and Date
      2009-07-24
    • Related Report
      2009 Annual Research Report
  • [Presentation] The bounded convergence theorem for Riesz space-valued Choquet integrals2009

    • Author(s)
      河邊淳
    • Organizer
      5th Asian Mathematical Conference
    • Place of Presentation
      Purta World Trade Center, Malaysia.
    • Year and Date
      2009-06-24
    • Related Report
      2010 Final Research Report
  • [Presentation] The bounded convergence theorem for Riesz space-valued Choquet integrals2009

    • Author(s)
      Jun Kawabe
    • Organizer
      5th Asian Mathematical Conference (AMC2009)
    • Place of Presentation
      Purta World Trade Center, Malaysia
    • Year and Date
      2009-06-24
    • Related Report
      2009 Annual Research Report
  • [Presentation] Riesz空間値Choquet積分の定式化と収束定理2009

    • Author(s)
      河邊淳
    • Organizer
      2009日本数学会年会
    • Place of Presentation
      東京大学駒場キャンパス
    • Year and Date
      2009-03-27
    • Related Report
      2010 Final Research Report
  • [Presentation] Riesz空間値Choquet積分の定式化と収束定理2009

    • Author(s)
      河港淳
    • Organizer
      2009日本数学会年会
    • Place of Presentation
      東京大学駒場キャンパス, 東京
    • Year and Date
      2009-03-27
    • Related Report
      2008 Annual Research Report
  • [Presentation] 非加法的測度の正則性とショケ積分の単調収束定理,日本知能情報ファジィ学会評価問題研究部会2008

    • Author(s)
      二又川透
    • Organizer
      第13回曖昧な気持ちに挑むワークショップ
    • Place of Presentation
      飯坂温泉,福島
    • Year and Date
      2008-11-14
    • Related Report
      2010 Final Research Report
  • [Presentation] ある種の漸近的零加法性をもつ歪直積の連続性とコンパクト性,日本知能情報ファジィ学会評価問題研究部会2008

    • Author(s)
      長谷部有哉
    • Organizer
      第13回曖昧な気持ちに挑むワークショップ
    • Place of Presentation
      飯坂温泉,福島
    • Year and Date
      2008-11-14
    • Related Report
      2010 Final Research Report
  • [Presentation] 非加法的測度の正則性とショケ積分の単調収束定理2008

    • Author(s)
      二又川透
    • Organizer
      第13回曖昧な気持ちに挑むワークショップ
    • Place of Presentation
      飯坂温泉, 福島
    • Year and Date
      2008-11-14
    • Related Report
      2008 Annual Research Report
  • [Presentation] ある種の漸近的零加法性をもつ歪直積の連続性とコンパクト性2008

    • Author(s)
      長谷部有哉
    • Organizer
      第13回曖昧な気持ちに挑むワークショップ
    • Place of Presentation
      飯坂温泉, 福島
    • Year and Date
      2008-11-14
    • Related Report
      2008 Annual Research Report
  • [Presentation] 非加法的測度の歪直積の連続性とコンパクト性2008

    • Author(s)
      河邊淳
    • Organizer
      実解析学シンポジウム2008山口
    • Place of Presentation
      山口大学
    • Year and Date
      2008-11-09
    • Related Report
      2010 Final Research Report
  • [Presentation] 非加法的測度の歪直積の連続性とコンパクト性2008

    • Author(s)
      河邊淳
    • Organizer
      実解析学シンポジウム2008山口
    • Place of Presentation
      山口大学, 山口
    • Year and Date
      2008-11-09
    • Related Report
      2008 Annual Research Report
  • [Presentation] The continuity of Riesz space-valued non-additive measures : Alexandroff theorem, Vector Measures2008

    • Author(s)
      河邊淳
    • Organizer
      Integration and Applications
    • Place of Presentation
      Katholische Universitat, Eichstatt, Germany
    • Year and Date
      2008-09-26
    • Related Report
      2010 Final Research Report
  • [Presentation] The continuity of Riesz space-valued non-additive measures : the Alexandroff theorem2008

    • Author(s)
      Jun Kawabe
    • Organizer
      Vector Measures, Integration and Applications
    • Place of Presentation
      Katholische Universitat, Germany
    • Year and Date
      2008-09-26
    • Related Report
      2008 Annual Research Report
  • [Presentation] A non-additive version of the Alexandroff theorem for Riesz space-valued measures2008

    • Author(s)
      河邊淳
    • Organizer
      Asian Conference on Nonlinear Analysis and Optimization
    • Place of Presentation
      Kunibiki Messe, Matsue City.
    • Year and Date
      2008-09-18
    • Related Report
      2010 Final Research Report
  • [Presentation] A non-additive version of the Alexandroff theorem for Riesz space-valued measures2008

    • Author(s)
      Jun Kawabe
    • Organizer
      Asian Conference on Nonlinear Analysis and Optimization
    • Place of Presentation
      Kubiniki Messe, Matue City
    • Year and Date
      2008-09-18
    • Related Report
      2008 Annual Research Report
  • [Presentation] 非加法的周辺測度をもつ歪直積の連続性とコンパクト性2008

    • Author(s)
      河邊淳
    • Organizer
      京都大学数理解析研究所研究集会「非加法性の数理と情報:非加法性と凸解析」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2008-08-25
    • Related Report
      2010 Final Research Report
  • [Presentation] 非加法的周辺測度をもつ歪直積の連続性とコンパクト性2008

    • Author(s)
      河邊淳
    • Organizer
      京都大学数理解析研究所研究集会「非加法性の数理と情報 : 非加法性と凸解析」
    • Place of Presentation
      京都大学数理解析研究所, 京都
    • Year and Date
      2008-08-25
    • Related Report
      2008 Annual Research Report
  • [Presentation] Riesz空間におけるショケ積分の定式化とその収束定理2008

    • Author(s)
      河邊淳
    • Organizer
      京都大学数理解析研究所研究集会「バナッハ空間及び関数空間論の最近の進展とその応用」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2008-06-04
    • Related Report
      2010 Final Research Report
  • [Presentation] Riesz空間におけるショケ積分の定式化とその収束定理2008

    • Author(s)
      河監淳
    • Organizer
      京都大学数理解析研究所研究集会「バナッハ空間及び関数空間論の最近の進展とその応用」
    • Place of Presentation
      京都大学数理解析研究所, 京都
    • Year and Date
      2008-06-04
    • Related Report
      2008 Annual Research Report
  • [Remarks]

    • URL

      http://soar-rd.shinshu-u.ac.jp/profile/ja.jaAaZVkh.html

    • Related Report
      2010 Final Research Report
  • [Remarks]

    • URL

      http://soar-rd.shinshu-u.ac.jp/profile/ja.jaAaZVkh.html

    • Related Report
      2010 Annual Research Report
  • [Remarks]

    • URL

      http://wwweng.cs.shinshu-u.ac.jp/APPL/NOW/kenkyu/kawabe/kawabe.htm

    • Related Report
      2009 Annual Research Report
  • [Remarks]

    • URL

      http://wwweng.cs.shinshu-u.ac.jp/APPL/NOW/kenkyu/kawabe/kawabe.htm

    • Related Report
      2008 Annual Research Report

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Published: 2008-04-01   Modified: 2016-04-21  

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