SHIMOMURA Hiroaki 下村宏彰

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下村宏彰

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Researcher Number	20092827
Other IDs
External Links
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

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

SHIMOMURA Hiroaki 下村 宏彰

下村 宏彰

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Representation and measure theory of infinite dimensional moues and its applicationsPrincipal Investigator

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Representation theory and measure theory of infinite-dimensional groups and related topicsPrincipal Investigator

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Infinite Dimensional Representations and Related TopicsPrincipal Investigator

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Infinite Dimensional Representations and Related TopicsPrincipal Investigator

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Infinite Dimensional Representation, Measure Theory and Related TopicsPrincipal Investigator

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無限次元空間の測度論とその応用Principal Investigator

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SHIMOMURA Hiroaki 下村宏彰

下村宏彰