TAKANO Kazuhiko 高野嘉寿彦

Researcher Number	80252063
Other IDs
Affiliation (Current)	2025: 信州大学, 学術研究院総合人間科学系, 教授
Affiliation (based on the past Project Information) *help	2010: 信州大学, 全学教育機構, 教授 2007: 全学教授機構, 教授 2007: Shinshu University, Professor 2006: 信州大学, 学内共同利用施設等, 教授 1994 – 2004: 信州大学, 工学部, 講師
Review Section/Research Field	Except Principal Investigator Basic analysis / Basic analysis / 解析学 / General mathematics (including Probability theory/Statistical mathematics)
Keywords	Except Principal Investigator ベクトル測度の弱収束 / 双線形ベクトル積分 / 擬似マルチンゲール / Choquet integral / Alexandroff theorem / Lusin theorem / Egoroff theorem / Riesz space / multiple Egoroff property / asymptotic Egoroff property … More / non-additive measure / compactness criterion / Borel product of vector measures / portmanteau theorem / Riesz type representation theorem / weak convergence of measures / uniform tightness / アファイン接続 / 直交級数 / martingale-like sequence / injective tensor integral / weak convergence / weak convergence of vector measures / 擬リーマン沈め込み / controller time-delay / Fourier coefficients / ファジィ最適制御 / ベクトル測度のテンソル積 / コンパクト性判定条件 / 連続線形系のディジタル制御 / 測度の集合の相対コンパクト性 / affine connection / statistical manifold / total o-continuity / Radon / uniform order tightness / bilinear vector integration / Riesz space-valued measures / bilinear integration / Riesz space-valued measure / ベクトル測度のボレル直積 / リース空間値測度 / 一様順序緊密性 / ベクトル速度のボレル直積 / portmanteau定理 / リース型の表現定理 / 測度の弱収束 / リース空間値速度 / semi-Riemannian manifold / H^∞ control problem / compactness / Fourier coefficient / tensor product / アフィン接続 / H^∞制御問題 / 一様緊密性 / ジョルダン多角形 / 代数リカッチ方程式の近似解法 / コンパクト性 / seml-Riemannian submersion / martingale-like sequences / algebraic Riccati equation / nets / absolute Norlund summability / orthogonal series / 時間遅れ / 絶対総和法 / Thueの問題 / H∞制御問題 / フィルター / 絶対リース総和法 / Banach束 / 代数Riccati方程式 / ネット / 絶対ネールンド総和法 / Riemannian submersion / nonlinear regulator / fuzzy optimization / stochastic differential equation / Raccati difference equation / majorization / Bochner curvature tensor / generalized Norlund summability / fuzzy set / 非線形レギュレータ / テンソル積分 / Kahlerian submersion / martingale / digital control of continuous-time linear systems / rearrangement of vector-valued functions / Norlund summability / fuzzy optimal control / weak convergence of vec-tor measures / tensor product of vector measures / マルチンゲ-ル / ネェ-ルンド総和法 / フーリエ級数 / ケーラー沈み込み / マルチンゲール / ベクトル値関数の並べかえの理論 / ネェールンド総和法 / ファジィ制御 / 一様自己連続性 / 単調収束定理 / 歪直積 / 弱漸近零加法性 / 漸近零加法性 / 完全連続性 / リース型積分表示定理 / 共単調加法性 / 一様漸近的零加法性 / 歪直積測度 / ショケ積分の収束定理 / 単調関数連続性条件 / 多重エゴロフ性 / 漸近的エゴロフ性 / リース空間 / ショケ積分 / 非加法的測度 / 確率過程の収束 / ベクトル測度の弱位相 / 離散近似系と並べ変え / ルジャンドル級数の総和法 / 二重フーリエ級数の二重総和法 / 離散近似系の拡大系 / 時間遅れをもつ連続線形系 / 特殊射影キリング形式 / Prokhorov-LeCamの判定条件 / 確率システムの観測・制御 / 連続線形系の離散近似 / 二重フーリエ級数 / Norlund総和法 / 曲面上での並べかえ / G-Rearrangement / 完簡単連結な佐々木多様体 / 確率微分方程式 / 並べかえの理論 / ルジャンドル級数のネェ-ルンド総和法 / ベクトル測度 / 推移確率の一様緊密性 / 定スカラー曲率の佐々木多様体 / 連続関数列の概収束極限 / 推移確率と複合確率測度 / 並べかえの方法と順序構造 / 二重Fourier級数と総和法 / 2次形式評価関数 / 連続線形システムの離散近似系 Less

New smoothness conditions on Riesz spaces with applications to nonadditive measures and Choquet integrals
- Principal Investigator
  
  KAWABE Jun
- Project Period (FY)
  2008 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Shinshu University
Non-additive measure theory in Riesz spaces with certain smoothenss conditions
- Principal Investigator
  
  KAWABE Jun
- Project Period (FY)
  2006 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Shinshu University
Weak order convergence of Riesz space-valued positive vector measures with applications
- Principal Investigator
  
  KAWABE Jun
- Project Period (FY)
  2003 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  SHINSHU UNIVERSITY
Weak convergence of positive vector measures with applications to real analysis
- Principal Investigator
  
  KAWABE Jun
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  SHINSHU UNIVERSITY
Theory and application of Fourier analysis
- Principal Investigator
  
  OKUYAMA Yasuo
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  SHINSHU UNIVERSITY
Weak convergence of vector measures with applications to real analysis
- Principal Investigator
  
  KAWABE Jun
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  SHINSHU UNIVERSITY
Weak convergence of vector measures on topological spaces and its applications
- Principal Investigator
  
  KAWABE Jun
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  SHINSHU UNIVERSITY
並べかえ理論の研究とその応用
- Principal Investigator
  
  酒井雄二
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Shinshu University
離散システムの構造および解析アルゴリズムに関する数学的研究
- Principal Investigator
  
  木村盛茂
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Shinshu University
無限次元空間上の測度の弱収束の研究とその応用
- Principal Investigator
  
  河邊淳
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Shinshu University
離散システムの構造および解析アルゴリズムに関する数学的研究
- Principal Investigator
  
  KIMURA Morishige
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Shinshu University

All 2008 2007 2006 2005 2004 Other

All Journal Article Presentation

[Journal Article] Examples of statistical manifolds with almost complex structures2008
- Author(s)
  K. Takano
- Journal Title
  
  Tensor N. S (in Press)
- NAID
  10021916369
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540166
[Journal Article] Examples of statistical manifo1ds with almost complex structures2008
- Author(s)
  Kazuhiko Takano
- Journal Title
  
  Tensor, N. S. (印刷中)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540166
[Journal Article] Examples of statistical manifolds with almost complex structures2008
- Author(s)
  Kazuhiko Takano
- Journal Title
  
  Tensor, N. S. (印刷中)
- NAID
  10021916369
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540166
[Journal Article] Submanifolds of statistical manifolds admitting almost complex structures2007
- Author(s)
  Kazuhiko Takano
- Journal Title
  
  Proc. 42nd Symposium on Finsler Geomery
  
  Pages: 38-41
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540166
[Journal Article] Submanifolds of statistical manifolds admitting almost complex structures2007
- Author(s)
  Kazuhiko Takano
- Journal Title
  
  Proc. 42nd Symposium on Finsler Geometry
  
  Pages: 38-41
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540166
[Journal Article] Submanifolds of statistical manifolds admitting almost complex structures2007
- Author(s)
  K. Takano
- Journal Title
  
  Proc. 42nd Symposium on Finsler Geometry
  
  Pages: 38-41
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540166
[Journal Article] Geodesics on statistical models of the multivariate normal distribution2006
- Author(s)
  K. Takano
- Journal Title
  
  Tensor, N. S 67
  
  Pages: 162-169
- NAID
  10020541614
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540166
[Journal Article] Geodesics on statistical models of the multivariate normal distribution2006
- Author(s)
  Kazuhiko Takano
- Journal Title
  
  Tensor, N. S. 67
  
  Pages: 162-169
- NAID
  10020541614
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540166
[Journal Article] Statistical manifolds with almost contact structures and its statistical submersions2006
- Author(s)
  Kazuhiko Takano
- Journal Title
  
  J. Geom. 85
  
  Pages: 171-187
- NAID
  120007102749
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540166
[Journal Article] Statistical manifolds with almost contact structures and its statistical submersions2006
- Author(s)
  K. Takano
- Journal Title
  
  J, Geom 85
  
  Pages: 171-187
- NAID
  120007102749
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540166
[Journal Article] On a conformal Killing vector field in a compact almost Kahlerian manifold2005
- Author(s)
  K.Takano
- Journal Title
  
  Bull.Korean Math.Soc. (印刷中)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540162
[Journal Article] Examples of the statistical submersion on the statistical model2004
- Author(s)
  K.Takano
- Journal Title
  
  Tensor, N.S. 65
  
  Pages: 170-178
- NAID
  10013754019
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540162
[Journal Article] Statistical manifolds with almost complex structures and its submersions2004
- Author(s)
  K.Takano
- Journal Title
  
  Tensor, N.S. 65
  
  Pages: 128-142
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540162
[Journal Article] On a conformal Killing vector field in a compact almost Kahlerian manifold
- Author(s)
  K.Takano
- Journal Title
  
  Bull.Korean Math.Soc. (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540162
[Presentation] On statistical manifolds with almost complex structures2007
- Author(s)
  K. Takano
- Organizer
  Seminar on toplogy
- Place of Presentation
  Shinshu University, Matsumoto
- Year and Date
  2007-11-12
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540166
[Presentation] 概複素構造をもつ指数型分布族について2007
- Author(s)
  高野嘉寿彦
- Organizer
  大阪市立大学数学研究所ミニスクール「情報幾何への入門と応用II」
- Place of Presentation
  大阪市立大学
- Year and Date
  2007-12-21
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-18540166
[Presentation] Exponential families admitting almost complex structures2007
- Author(s)
  K. Takano
- Organizer
  OCAMI Mini-School on "Introduction to Information Geometry and its Applications II
- Place of Presentation
  Osaka City University, Osaka
- Year and Date
  2007-12-21
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540166
[Presentation] 概複素構造をもつ統計多様体について2007
- Author(s)
  高野嘉寿彦
- Organizer
  信州大学トポロジーセミナー
- Place of Presentation
  信州大学
- Year and Date
  2007-11-12
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-18540166
[Presentation] Submanifolds of statistical manifolds admitting almost complex structures2007
- Author(s)
  Kazuhiko Takano
- Organizer
  The 42nd Symposium on Finsler Geometry
- Place of Presentation
  Nagasaki, Japan
- Year and Date
  2007-11-04
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-18540166
[Presentation] 概複素構造をもつ統計的モデルの例について2006
- Author(s)
  高野嘉寿彦
- Organizer
  大阪市立大学数学研究所ミニスクール「情報幾何への入門と応用」
- Place of Presentation
  大阪市立大学
- Year and Date
  2006-06-08
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-18540166
[Presentation] Examples of statistical models with almost complex structures2006
- Author(s)
  K. Takano
- Organizer
  OCAMI Mini-School on "Introduction to Information Geometry and its Applications
- Place of Presentation
  Osaka City University, Osaka
- Year and Date
  2006-06-08
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540166
[Presentation] Examples of statistical manifolds admitting almost complex structures2006
- Author(s)
  Kazuhiko Takano
- Organizer
  The 9th International Conference of Tensor Society
- Place of Presentation
  Sapporo, Japan
- Year and Date
  2006-09-05
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-18540166

1. KIMURA Morishige (00026345)

# of Collaborated Projects: 11 results

# of Collaborated Products: 0 results
2. KAWABE Jun (50186136)

# of Collaborated Projects: 11 results

# of Collaborated Products: 0 results
3. YAMASAKI Motohiro (30021017)

# of Collaborated Projects: 11 results

# of Collaborated Products: 0 results
4. SAKAI Yuji (80021004)

# of Collaborated Projects: 10 results

# of Collaborated Products: 0 results
5. OKUYAMA Yasuo (70020980)

# of Collaborated Projects: 8 results

# of Collaborated Products: 0 results
6. OHNO Hiromichi (90554585)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. SUZUKI Akito (70585611)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

TAKANO Kazuhiko 高野 嘉寿彦

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[Journal Article] Examples of statistical manifolds with almost complex structures2008

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[Journal Article] Examples of statistical manifo1ds with almost complex structures2008

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[Journal Article] Examples of statistical manifolds with almost complex structures2008

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[Journal Article] Submanifolds of statistical manifolds admitting almost complex structures2007

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[Journal Article] Submanifolds of statistical manifolds admitting almost complex structures2007

TAKANO Kazuhiko 高野嘉寿彦