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OKA Yukimasa  岡 幸正

ORCIDConnect your ORCID iD *help
Researcher Number 50089140
Affiliation (based on the past Project Information) *help 2002 – 2004: 熊本大学, 理学部, 助教授
1989 – 1998: 熊本大学, 理学部, 助教授
1986: Faculty of Science, Kumamoto University, 理学部, 助教授
Review Section/Research Field
Principal Investigator
解析学
Except Principal Investigator
General mathematics (including Probability theory/Statistical mathematics) / 解析学 / Geometry / 代数学・幾何学 / Global analysis / Algebra
Keywords
Principal Investigator
状態の可換性 / エルゴード性 / 不変状態 / C^*-力学系 / 非可換力学系 / 作用素環
Except Principal Investigator
Uniformization / homology / de Rham cohomology / confluence … More / de Rham theory / hypergeometric / Contactization / Geometric structure / 標準表現 / ブラウン運動 / ガウス過程 / 接続問題 / モノドロミ-群 / 数式処理 / rigid local system / flat basis / cohomology / Carnot-Caratheodory / 一般超幾何関数 / stratification / regular element / Lie algebra / special function / CR-structure / Vanishing curvature / Symplectic structure / Weyl Curvature tensor / Pseudo-Hermitian Structure / Deformation / innovation / 超幾何関数 / 幾何構造 / ドラム・コホモロジー / ストークス現象 / パフィアン系 / 超幾何微分方程式系 / 逐次推定 / Bruwnian motoon / canonical representation / Gaussian processes / ホワイトノイズ / イノベイション / accessory parameter / deformation of differential equations / arrangement of hyperplanes / hypergeometric function / 積分表示 / 超幾何変数 / 合流 / アクセサリー・パラメター / 微分方程式の変形 / 超平面配置 / rigid局所系 / Asymptotic efficiency / Simultaneous confidence interval / Bounded risk problem / Confidence region / Two-stage procedure / Sequential estimation / 非対称損失関数 / 二段階推定法 / 多変量正規分布 / 二標本問題 / 逐次解析 / 漸近有効 / 瀬近有効 / 同時信頼区間 / 有界リスク問題 / 信頼領域 / 二段階法 / quadratic relation / intersection theory / Gauss hypergeometric / general hypergeometric function / Okubo system / Airy / 交点数 / 二次関形式 / ガンマ関数 / 二次関係式 / 交点理論 / ガウス超幾何関数 / de Rham 理論 / Sasakian Structure / Quaternionic Hyperbolic geometry / Complex Surfaces / Superrigidity / Pseudo-quaternionic structure / Global deformation / Integrability / Locally conformal Kahler structure / CR-構造 / Chern-Moser-Webster曲率テンサー / 局所共形変換群 / locally conformal Kahler構造 / 積分可能性 / Cauchy-Riemann構造 / 共形構造 / spherical pseudo-quaternion / 剛耐性 / 4元数幾何構造 / 4元数双曲群 / 佐々木構造 / Carnot-Caratheodory構造 / Weyl曲率テンサー / Bochner曲率テンサー / 局所共形ケーラー / 共形不変量 / 鞍部点法 / holonomic系 / conomology / Airy関数 / Grassmann多様体 / Conformal atructure / Pseoudo-Hermiyian structure / CR構造 / uniformization / 曲率関数Λ / モデル空間(G,X) / ローレンツ計量 / Weyl曲率tensor / Contact form / pseudo-Hermitian構造 / Conformal structure / CR structure / Vanishing / Pseoudo-Hermitian structure / Curvaturelike Function LAMBDA / Lorentz Structure / Causality / Characteristic CR Vector Field / Contact Structure / Lorentz Causa領 Character / Killingベクトル場 / Spherical CR構造 / ロ-レンツhyperbolic構造 / ロ-レンツflat構造 / ロ-レンツspherical構造 / SEMI-RIEMANN計量 / ONEパラメ-タ-等長群 / ロ-レンツ平坦構造 / CHRONOLOGY条件 / 基本群 / ホロノミ-群 / AFFINE FLAT構造 / CAUSALITY / Diformation / Sasakian space form / Curvaturelike function / Seifert fiber space / Spherical CR Structure / Conformally flat structure / Curvaturelike fonction / Pseudo-Hermition Structure / Causal Killing field / Lorents structure / stochastic equation. / stochastic integral / filtering / Canonical representation / Brownian motion / Gaussian process / 多重マルコフ過程 / マルチンゲ-ル / 再生核ヒルベルト空間 / 新生過程 / 確率微分方程式 / 確率積分 / 新生温程 / フィルタリング / 大域的解析 / モデル空間 / Seifert予想 / 大域的剛体性 / 幾何学流れ / 四元数双曲幾何 / CR幾何学 / 共形幾何学 / Hardyの不等式 / Lee-Wiener回路 / ボルテラ型積分作用素 / C^*-力学系 / 合流操作 / 形式的巾級数解 / S-N分解 / 微分方程式の既約性 / フックス型微分方程式 / Sylowの定理 / Frobenicsの定理 / モジュラー表現 / Mackey 関手 / Burnside 環 / 有限群 / 推定方法の改良 / エルゴ-ト性 / パレ-スメ-ル条件 / 峠の補題 / 変分法 / 力学系 / 楕円型方程式 / 非線形 / 代数微分方程式 / 微分ガロア理論 / リ-pseuclo群 / 微分Galois理論 Less
  • Research Projects

    (20 results)
  • Research Products

    (17 results)
  • Co-Researchers

    (28 People)
  •  Stratification, exterior power structure, asymptotic behavior and connection coefficients for confluenthypergeometric functions

    • Principal Investigator
      HARAOKA Yoshishige
    • Project Period (FY)
      2001 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Global analysis
    • Research Institution
      Kumamoto University
  •  Theoretical Research of Sequential Analysis and its Applications

    • Principal Investigator
      TAKADA Yoshikazu
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kumamoto University
  •  Topological method in Differential Geometry and Conformal theory

    • Principal Investigator
      KAMISHIMA Yoshinobu
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Department of mathematics, Kumamoto University
  •  Toward a unified theory of special functions of several variables

    • Principal Investigator
      KIMURA Hironobu
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Department of Mathematics, Kumamoto University
  •  種々の幾何構造に於ける共形不変性

    • Principal Investigator
      神島 芳宣
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kumamoto University
  •  数式処理による微分方程式の研究

    • Principal Investigator
      河野 實彦
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kumamoto University
  •  Toward a unified theory special functions of several variables

    • Principal Investigator
      KIMURA Hironobu
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      Department of Mathematics, Kumamoto University
  •  完全積分可能な偏微分方程式系の研究

    • Principal Investigator
      河野 實彦
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Kumamoto University
  •  ガウス過程の表現と積分方程式

    • Principal Investigator
      櫃田 倍之
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kumamoto University
  •  微分方程式の数式処理システムの研究

    • Principal Investigator
      河野 實彦
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kumamoto University
  •  Mutual Invariance between Geometric Structures and Toplogical Structures on Manifolds

    • Principal Investigator
      KAMISHIMA Yoshinobu
    • Project Period (FY)
      1994 – 1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kumamoto University
  •  群論の古典的問題とその関連分野

    • Principal Investigator
      YOSHIDA Tomoyuki
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kumamoto University
  •  位相代数上の調和解析Principal Investigator

    • Principal Investigator
      岡 幸正
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kumamoto University
  •  逐次的方法による推定量の構成とその性質の研究

    • Principal Investigator
      高田 佳和
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kumamoto University
  •  Existence and Deformation of Geometric Stuctures on Manifolds

    • Principal Investigator
      KAMISHIAM Yoshinobu
    • Project Period (FY)
      1991 – 1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Department of mathematics, Kumamoto University
  •  Galois理論の一般化とその解析学への応用

    • Principal Investigator
      梅村 浩
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Kumamoto University
  •  非線形楕円型微分方程式とその周辺

    • Principal Investigator
      吉田 清
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kumamoto University
  •  無限次元微分Galois理論

    • Principal Investigator
      梅村 浩
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Kumamoto University
  •  Separation and Fusion of Information in Stochastic Processes.

    • Principal Investigator
      HITSUDA Masuyuki
    • Project Period (FY)
      1989 – 1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kumamoto University
  •  Representation of stochastic processes and the limit theorem.

    • Principal Investigator
      HITSUDA Masuyuki
    • Project Period (FY)
      1985 – 1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Faculty of Science, Kumamoto University

All 2004 2003 2002 2001 Other

All Journal Article Book

  • [Book] 超幾何関数2002

    • Author(s)
      原岡喜重
    • Total Pages
      197
    • Publisher
      朝倉書店
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13440057
  • [Book] Hypergeometric functions2002

    • Author(s)
      Yoshishige Haraoka
    • Total Pages
      197
    • Publisher
      Asakura Publishers
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13440057
  • [Journal Article] On confluences of hypergeometric integrals2004

    • Author(s)
      Yoshishige Haraoka
    • Journal Title

      Kumamoto J.Math. 17

      Pages: 1-8

    • NAID

      110001066604

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13440057
  • [Journal Article] Quiverの表現とmonodromy保存変形2004

    • Author(s)
      原岡喜重
    • Journal Title

      数理解析研究所講究録 1367

      Pages: 103-109

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13440057
  • [Journal Article] Representations of quivers and monodromy preserving deformations2004

    • Author(s)
      Yoshishige Haraoka
    • Journal Title

      RIMS Kokyuroku 1367

      Pages: 103-109

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13440057
  • [Journal Article] On confluences of hypergeometric integrals2004

    • Author(s)
      Y.Haraoka
    • Journal Title

      Kumamoto J.Math. 17

      Pages: 1-8

    • NAID

      110001066604

    • Data Source
      KAKENHI-PROJECT-13440057
  • [Journal Article] Evaluation of Stokes multipliers for a certain systems of differential equations corresponding to a rigid local system2003

    • Author(s)
      Yoshishige Haraoka
    • Journal Title

      Funkcialaj Ekv acioj 46(2)

      Pages: 187-211

    • NAID

      130000141038

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13440057
  • [Journal Article] Evaluation of Stokes multipliers for a certain system of differential equations corresponding to a rigid local system2003

    • Author(s)
      Yoshishige Haraoka
    • Journal Title

      Funkcialaj Ekvacioj 46・2

      Pages: 187-211

    • NAID

      130000141038

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13440057
  • [Journal Article] Integral representations of solutions of differential equations fee from accessory parameters2002

    • Author(s)
      Yoshishige Haraoka
    • Journal Title

      Adv.Math. 169

      Pages: 187-240

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13440057
  • [Journal Article] Integral local systems2002

    • Author(s)
      原岡喜重
    • Journal Title

      数理解析研究所講究録 1296

      Pages: 1-8

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13440057
  • [Journal Article] Integral representations of solutions of differentual equations free from accessory parameters2002

    • Author(s)
      Yoshishige Haraoka
    • Journal Title

      Adv.Math. 169

      Pages: 187-240

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13440057
  • [Journal Article] Integral local systems2002

    • Author(s)
      Yoshishige Haraoka
    • Journal Title

      RIMS Kokyuroku 1296

      Pages: 1-8

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13440057
  • [Journal Article] Connection problem for Birkhoff-Okubo systems2001

    • Author(s)
      原岡喜重
    • Journal Title

      数理解析研究所講究録 1239

      Pages: 1-10

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13440057
  • [Journal Article] Connection problem for Birkhoff-Okubo systems2001

    • Author(s)
      Yoshishige Haraoka
    • Journal Title

      RIMS Kokyuroku 1239

      Pages: 1-10

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13440057
  • [Journal Article] Construction of rigid local systems and integral representations of their sections

    • Author(s)
      Yoshishige Haraoka
    • Journal Title

      Math.Nachr. (発表予定)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13440057
  • [Journal Article] Construction of rigid local systems and integral representations of their sections

    • Author(s)
      Yoshishige Haraoka
    • Journal Title

      Math.Nachr. (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13440057
  • [Journal Article] Construction of rigid local systems and integral representation of their sections

    • Author(s)
      Y.Haraoka
    • Journal Title

      Math.Nachr. (発表予定)

    • Data Source
      KAKENHI-PROJECT-13440057
  • 1.  KOHNO Mitsuhiko (30027370)
    # of Collaborated Projects: 10 results
    # of Collaborated Products: 0 results
  • 2.  KAMISHIAM Yoshinobu (10125304)
    # of Collaborated Projects: 8 results
    # of Collaborated Products: 0 results
  • 3.  TAKADA Yoshikazu (70114098)
    # of Collaborated Projects: 8 results
    # of Collaborated Products: 0 results
  • 4.  HARAOKA Yoshishige (30208665)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 17 results
  • 5.  YAMAMOTO Sunao (50040100)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 6.  HITSUDA Masuyuki (50024237)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 7.  KIMURA Hironobu (40161575)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 8.  前橋 敏之 (90032804)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 9.  YOSHIDA Kiyoshi (80033893)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 10.  YOSHIDA Tomoyuki (30002265)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 11.  YAMAKI Hiroyoshi (60028199)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 12.  梅村 浩 (40022678)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 13.  OSHIMA Yoichi (20040404)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 14.  YAMADA Kotaro (10221657)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 15.  菱田 俊明 (60257243)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 16.  相川 弘明 (20137889)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 17.  SAISHO Yasumasa (70195973)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  IKEDA Kaoru (40232178)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  OKAMOTO Kazuo (40011720)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  YOKOYAMA Takahisa (20240864)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  SAKATA Toshio (20117352)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  KIMURA Hironobu (40161517)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  FURUSHIMA Mikio (00165482)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  INOUE Hisao (40145272)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  百武 弘登 (70181120)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  村田 實 (50087079)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  大脇 信一 (50040506)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  上村 豊 (50134854)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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