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SHIMOMURA Hiroaki  下村 宏彰

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下村 宏彰

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Researcher Number 20092827
Other IDs
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Affiliation (based on the past Project Information) *help 2010: 高知大学, 教育学部, 教授
2002 – 2007: 高知大学, 教育学部, 教授
2000 – 2001: 福井大学, 工学部, 教授
1990 – 1998: 福井大学, 教育学部, 教授
1988: 福井大学, 教育学部数学教室, 教授
1987: 福井大学, 教育学部, 教授
Review Section/Research Field
Principal Investigator
解析学 / Basic analysis / Basic analysis
Except Principal Investigator
解析学 / General mathematics (including Probability theory/Statistical mathematics) / 代数学・幾何学 / Algebra / Basic analysis
Keywords
Principal Investigator
ユニタリ表現 / 多様体 / Unitary Representation / Manifold / Quasi-Invariant Measure / 既約分解 / 準不変測度 / 微分同相群 / 帰納極限 / 位相群 … More / Smooth Vector / 微分同相写像群 / 無限対称群 / 正の定符号関数 / 端点分解 / 既約表現 / extreme decomposition / 標準表現 / 配位空間 / Pcisson measure / 平行移動準不変測度 / エハゴ-ド性 / Spectre measure / multiplicity / 微分表現 / 無限次元Lie群 / 無限次元Lie環 / 線形性 / 1-cocycle / コニタリ表現 / 弥形性 / Group of Diffeomorphism / Differential Representation / Infinite Dimensional Lie group / Infinite Dimensior / Linearity / 1-Cocycle / 凖不変測度 / 滑らかなスベクトル / 直積構造 / 滑らかなベクトル / Diffeomorphism Group / Regular Representation / Difisomorphism / Inductive Limit / 制限直積 / 同値性 / 既約性 / 既約ユニタリ表現 / Diffeomorphism / Direct Product / Infinite Symmetric Group / Dual Pair / Irreducible Decomposition / 滑らかな多様体 / diffeomorplism / 測度の制限直積 / 既約分解可能性 / manifold / diffeomorphism group / unitary representation / infinite permutation group / positive-definite function / irreducible decomposition / 無限次元群 / 表現論 / 測度論 / 微分同相写像 / G-N-S構成法 / infinite dimensional group / representation theory / measure theory / diffeomorphism / irreducible representation / positive-deftnite-function … More
Except Principal Investigator
指標 / 拡散過程 / 分枝過程 / 滞在時間 / 極限定理 / 測地線 / ホップ代数 / 量子群 / 半単純り一群 / ユニタリ表現 / cohomological induction / 柆相変分法 / 非退化 / ホップガロア理論 / ガロア理論 / コサイクル変形 / 簡約リー群 / 既約指標 / resolution / 解析学 / 関数解析学 / 確率論 / 表現論 / 調和解析 / 表現の指標 / 対称群 / ヤンググラフ / 環積 / 無限対称群 / 漸近挙動 / 量子確率論 / リーマン多様体 / ポール / 断面曲率 / asymptoticall y flat / Floer Homology / Morse complex / モース理論 Less
  • Research Projects

    (15 results)
  • Research Products

    (19 results)
  • Co-Researchers

    (21 People)
  •  Integrated study of probability and representation theory towards harmonic analysis on huge groups

    • Principal Investigator
      HORA Akihito
    • Project Period (FY)
      2007 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Nagoya University
  •  Representation and measure theory of infinite dimensional moues and its applicationsPrincipal Investigator

    • Principal Investigator
      SHIMOMURA Hiroaki
    • Project Period (FY)
      2006 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Kochi University
  •  Representation theory and measure theory of infinite-dimensional groups and related topicsPrincipal Investigator

    • Principal Investigator
      SHIMOMURA Hiroaki
    • Project Period (FY)
      2004 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Kochi University
  •  Infinite Dimensional Representations and Related TopicsPrincipal Investigator

    • Principal Investigator
      SHIMOMURA Hiroaki
    • Project Period (FY)
      2002 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Kochi University
  •  Infinite Dimensional Representations and Related TopicsPrincipal Investigator

    • Principal Investigator
      SHIMOMURA Hiroaki
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Fukui University
  •  Infinite Dimensional Representation, Measure Theory and Related TopicsPrincipal Investigator

    • Principal Investigator
      SHIMOMURA Hiroaki
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Fukui University
  •  リー群とリー環の表現論とその応用

    • Principal Investigator
      三上 俊介
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      福井医科大学
  •  ホップ代数と量子群

    • Principal Investigator
      土井 幸雄
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      University of Fukui
  •  無限次元空間の測度論とその応用Principal Investigator

    • Principal Investigator
      下村 宏彰
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      University of Fukui
  •  ホップ代数の総合的研究

    • Principal Investigator
      土井 幸雄
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      University of Fukui
  •  変分問題の綜合的研究

    • Principal Investigator
      黒木 哲徳
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      University of Fukui
  •  測度値拡散過程の総合的研究

    • Principal Investigator
      杉谷 貞男
    • 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
      University of Fukui
  •  リ-群の表現とその応用についての研究

    • Principal Investigator
      MIKAMI Shunsuke
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      University of Fukui
  •  リーマン幾何学の綜合的研究

    • Principal Investigator
      黒木 哲徳
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      University of Fukui
  •  測度に値をとる拡散過程の総合的研究

    • Principal Investigator
      杉谷 貞男
    • Project Period (FY)
      1987
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      University of Fukui

All 2008 2007 2006 2005 Other

All Journal Article Presentation

  • [Journal Article] Irreducible decompositions of unitary representations and extreme decompositions of positive-definite functions on groups2008

    • Author(s)
      H. Shimomura
    • Journal Title

      Proceedings of JSPS-DFG Japan-Germany joint seminar, Infinite Dimensional Harmonic Analysis IV, World Scientific (掲載確定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540184
  • [Journal Article] Irreducible decompositions of unitary representations and extreme decompositions of positive-definite functions2008

    • Author(s)
      H. Shimomura
    • Journal Title

      Proceedings of JSPS-DFG Japan Germany joint Seminar, Infinite Dimensional Harmonic Analysis IV, World Scientific.(掲載確定) 未定

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540184
  • [Journal Article] Positive-definite functions on infinite dimensional groups2007

    • Author(s)
      H. Shimomura
    • Journal Title

      Mathematische Zeitschrift(掲載確定) (Published on line)(未定)

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540184
  • [Journal Article] Positive-definite functions on infinite dimensional groups2007

    • Author(s)
      H. Shimomura
    • Journal Title

      Mathematische Zeitschrift

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540184
  • [Journal Article] Positive-definite functions on infinite dimensiomal groups2007

    • Author(s)
      H. Shimomura
    • Journal Title

      Mathematische Zeitschrift Published on line(掲載確定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540184
  • [Journal Article] Irreducible decomposition of unitary representations of infinite-dimensional groups.2006

    • Author(s)
      H.Shimomura
    • Journal Title

      Math. Z. 251

      Pages: 575-587

    • Data Source
      KAKENHI-PROJECT-18540184
  • [Journal Article] Unitary representations of the group of diffeomorphisms via restricted measures with infinite mass.2006

    • Author(s)
      H.Shimomura
    • Journal Title

      Proceedings of the third German-Japanese symposium III

      Pages: 289-312

    • Data Source
      KAKENHI-PROJECT-18540184
  • [Journal Article] Unitary representations of the group of diffeomorphisms via restricted measures with infinite mass,2005

    • Author(s)
      H.Shimomura
    • Journal Title

      Proceedings of infinite dimensional analysis III

      Pages: 289-312

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540162
  • [Journal Article] Irreducible decompositions of infinite-dimensional groups2005

    • Author(s)
      H.Shimomura
    • Journal Title

      Mathematishe Zeitschrift 251

      Pages: 575-587

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540162
  • [Journal Article] Unitary representations of the group of diffeomorphisms via restricted product measures with infinite mass2005

    • Author(s)
      H.Shimomura
    • Journal Title

      Proceedings of infinite dimensional analysis III

      Pages: 289-312

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540162
  • [Journal Article] Unitary representations of the group of diffeomorphisms via restricted product measures with infinite mass2005

    • Author(s)
      H.Shimomura
    • Journal Title

      Proceedings of infinite dimensional harmonic analysis III

      Pages: 289-312

    • Data Source
      KAKENHI-PROJECT-16540162
  • [Journal Article] Irreducible decompositions of infinite-dimensional groups2005

    • Author(s)
      H.Shimomura
    • Journal Title

      Mathematische Z. 251

      Pages: 575-587

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540162
  • [Journal Article] Proceedings of JSPS-DFG Japan Germany joint Seminar, Infinite Dimensional Harmonic Analysis IV, World Scientific

    • Author(s)
      H. Shimomura
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540184
  • [Presentation] Irreducible decompositions of unitary representations and extreme decompositions of positive-definite functions on groups2008

    • Author(s)
      H. Shimomura
    • Organizer
      JSPS-KFBR Work Shop, Harmonic Analysis of Homogeneous Spaces and Its Quantization
    • Place of Presentation
      九州大学西新プラザ
    • Year and Date
      2008-02-19
    • Data Source
      KAKENHI-PROJECT-18540184
  • [Presentation] Irreducible decompositions of unitary representations and extreme decompositions of positive-definite functions2008

    • Author(s)
      H. Shimomura
    • Organizer
      JSPS-KFBR Work shop, Harmonic Analysis of Homogeneous and Its Quantization
    • Place of Presentation
      Kyushu University
    • Year and Date
      2008-02-19
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540184
  • [Presentation] Irreducible decompositions of unitary representations and extreme decompositions of positive-definite functions2008

    • Author(s)
      H. Shimomura
    • Organizer
      JSPS-KFBR Work shop, Harmonic Analysis of Homogeneous Spaces and Its Quantization
    • Place of Presentation
      九州大学西新プラザ
    • Year and Date
      2008-02-19
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-18540184
  • [Presentation] Unitary representations and quasi-invariant measures on infinite dimensiomal groups2007

    • Author(s)
      H. Shimomura
    • Organizer
      JSPS-DFG Japan-Germany joint seminar, Infinite Dimensional Harmonic Analysis IV
    • Place of Presentation
      東京大学大学院数理科学科
    • Year and Date
      2007-09-16
    • Data Source
      KAKENHI-PROJECT-18540184
  • [Presentation] Unitary representations and quasi-invariant measures on infinite dimensional groups2007

    • Author(s)
      H. Shimomura
    • Organizer
      JSPS-DFG Japan Germany joint Seminar, Infinite Dimensional Harmonic Analysis IV
    • Place of Presentation
      Tokyo University
    • Year and Date
      2007-09-16
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540184
  • [Presentation] Unitary representations and quasi-invariant measures on infinite dim-ensional groups2007

    • Author(s)
      H. Shimomura
    • Organizer
      JSPS-DFG Japan Germany joint Seminar, Infinite Dimensional Harmonic Analysis
    • Place of Presentation
      東京大学大学院数理学科
    • Year and Date
      2007-09-16
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-18540184
  • 1.  MIKAMI Shunsuke (00126640)
    # of Collaborated Projects: 11 results
    # of Collaborated Products: 0 results
  • 2.  土井 幸雄 (50015765)
    # of Collaborated Projects: 8 results
    # of Collaborated Products: 0 results
  • 3.  杉谷 貞男 (20112005)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 4.  山口 光代 (50029518)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 5.  黒木 哲徳 (90022681)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 6.  ONODA Nobuharu (40169347)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 7.  北村 眞一 (50020079)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 8.  時田 武 (00020123)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 9.  YASUKURA Osami (00191122)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 10.  HORA Akihito (10212200)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 11.  OKADA Soichi (20224016)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 12.  TATE Tatsuya (00317299)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 13.  HIRAI Takeshi (70025310)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 14.  OBATA Nobuaki (10169360)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 15.  KAWAZOE Takeshi (90152959)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 16.  YAMADA Hirofumi (40192794)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  ARAI Hitoshi (10175953)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  NISHIYAMA Kyo (70183085)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  ISHI Hideyuki (00326068)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  MATSUMOTO Sho (60547553)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  INAHAMA Yuzuru (80431998)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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