SATO Ryotaro 佐藤亮太郎

Researcher Number	50077913
Other IDs
Affiliation *help	2001 – 2005 : 岡山大学, 大学院・自然科学研究科, 教授 2005 : 岡山大学, 大学院自然科学研究科, 教授 2005 : OKAYAMA UNIVERSITY, GRADUATE SCHOOL OF NATURAL SCIENCE AND TECHNOLOGY, PROFESSOR, 大学院・自然科学研究科, 教授 1990 – 2000 : 岡山大学, 理学部, 教授 1989 : 岡山大学部, 理学部, 教授 1988 : 岡山大学, 理学部, 教授 1986 : 岡山大学, 理学部, 教授
Review Section/Research Field	Principal Investigator Basic analysis / 解析学 Except Principal Investigator 解析学 / Geometry / Basic analysis / Basic analysis / 代数学・幾何学 / Algebra / Global analysis
Keywords	Principal Investigator 最大関数 / 正作用素 / 非特異な変換 / 概収束 / エルゴ-ド的 / 極大等式 / 保存的 / 保測変換 / maximal ergodic functions / 流れ … More Except Principal Investigator Geometry of Banach spaces / タイプ・コタイプ / Absolute norm / ノイマン・ジョルダン定数 / 一様凸空間 / integrated semigroup / James type constant / バナッハ空間の幾何学 / ノルム不等式 / Clarkson type inequality / Hanner type inequality / Uniformly convex space / ラフカ型不等式 / Direct sums of Banach spaces / 指数和 / regularized semigroup / エルゴード理論 / ψ-direct sums of Banach spaces / リプシッツ作用素半群 / クラークソン不等式 / Random Clarkson inequality / 非相対論的量子電磁気学 / Schaffer type constant / 紫外特異 / エルゴード定理 / Hlawka type inequality / シェーファー型定数 / ラフカ不等式 / 正規構造 / Uniform non-squareness / Rademacher type-cotype / Banach space / subtangential condition / タウバー型定理 / semigroup of Lipschitz operators / 絶対ノルム / クラークソン型不等式 / Norm inequality / Pauli-Fierz model / バナッハ空間 / von Neumann-Jordan constant / dissipativity condition / comparison function / ラデマツハータイプ・コタイプ / 線形作用素 / Operator Analysis / 環の分離拡大 / ア-ク / stability / 係数環 / 安定性条件 / Hadamardの意味の適切性 / p-summing operator / 解析的数論 / Benfordの規則 / 赤外特異 / ハンナー型不等式 / Lipschitz semigroup / wellposedness in the sense of Hadamard / 有限体 / 一様非四辺形性 / quasilinear equation / 環拡大 / ハンナ型不等式 / analytic semigroup / Strong type-cotype / 作用素解析 / 半素環 / 有限幾何 / ベクトル値確率変数 / Hadamard well-posedness / Uniform p-smoothness / ネルソン模型 / conservation law / semilinear evolution equation / 正規構造係数 / Strong type and cotype / 劣接線条件 / uniformly convex space / 一様分布論 / 歪多項式環 / semilinear equation / ラデマッヒァータイプ,コタイプ / 偏微分方程式 / 分離拡大 / グラフのラプラシアン / ディオファンタス近似 / 安定性 / 三角級数 / generation theorem / 単純加群 / non-densely defined operator / representation theory and harmonic / 保存則系 / 自己準同型環 / パウリ・フイエルツ模型 / イデアル / Banach-Mazur distance / γ-trivial / stochastic basis / quasilinear evolution equation / パウリ・フィエルツ模型 / nonrelativistic QED / 測地線 / バナッハ空間の直和 / 環のガロア拡大 / ランダムクラークソン不等式 / Module of Differentials / 無限小生成作用素 / ユニモジュラー多項式 / 導分 / semigroup of operators / 正則環 / infinitesimal generator / operator theory / Semiprime Ring / semigroup of Lipschite operators / vector valued random variables / nuclear space / Endomorphism Ring / 符号理論 / 数論的関数 / スティショナルフェイズ / well-posedness / spin-boson model / acoustic boundary condition / abstract Cauchy problem / リーマン計量 / generator / ガロア多元環 / 入射包絡 / MDS符号 / Skew Polynomial Ring / 消散条件 / ガロア理論 / conservation laws / infinitesimal generators / normal structure coefficient / 場の量子論 / 入射加群 / 作用素環・函数環 / ジェームス型定数 / コホモロジー / wave front tracking solution / operator algebras / Uniform normal structure / テ-タ関数 / スペクトル逆問題 / リーマン多様体 / perturbation / 確率測度 / 超回帰性 / 自己同型 / normal structure / Uniform q-convexity / 発展方程式 / Nelson Model / Uniform p-smmothness / metric-like functional / Nonrelativistic QED / Univorm normal structure / ルベ-グ・ボホナ-空間 / 原始元 / 調和解析 / Derivation / Ideal / Nelson model / Ultraviolet Cutoff / ガロア拡大 / Wigner-Weisskoph model / ヒルベルト変換 / 超回帰的バナッハ空間 / Hanner-type inequality / ガロアの基本定理 / 表現論と調和解析 / Injectuve Module / abstract quasi-linear equation / Rademacher type, cotype / 一様凸性 / Riemann problem / 総和法 / 密度 / 非可換環 / 微分加郡 / Templ type / quantum mathematics / infrared catastrophe / バナッハ空間のψ-直和 / 作用素 / real analysis / 多様体 / Regular Ring / 量子数理 / Hadamard wellposedness / 実函数論 / 作用素半群の近似定理 / Λq-operator / 変換群 / approximation theorem for semigroups of operators / 微分加群 / Minlos' theorem / 抽象的準線形発展方程式 / 可換環 / 素根基 / semigroup of lipschitz operators / ノイマン・ジョルグン定数 / evolution equation / ジョルダン・フォンノイマン定数 / norm inequalities / フーリエ変換 / Wentzell boundary condition / partial differential equations / Cylinder set measure / 曲率 / 三角和 / stability condition / functional analysis / 分離多項式 / Neumann-Jordan constant / Geometrical constants / K理論 / theory of real variables / ultraviolet catastrophe / Clarkson inequality / 位相構造 / 素イデアル / アダマールの意味の適切性 / 実解析 / ガロア群 / fractional power / Chernoff's product formula / 函数解析 Less

Wellposedness of the Cauchy problems for hyperbolic systems with large data
- Principal Investigator
  
  TANAKA Naoki
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Shizuoka University
  Okayama University
Research on Operator Analysis for Nonrelativistic Quantum Dynamics in High Energy Region
- Principal Investigator
  
  HIROKAWA Masao
- Project Period (FY)
  2004 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  OKAYAMA UNIVERSITY
RESEARCH ON STRUCTURE THEORY OF BANACH SPACES AND NORM INEQUALITIES WITH APPLICATIONS
- Principal Investigator
  
  TAKAHASHI Yasuji
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  OKAYAMA PREFECTURAL UNIVERSITY
Well-posedness and approximation of Cauchy problems for hyperbolic systems
- Principal Investigator
  
  TANAKA Naoki
- Project Period (FY)
  2002 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  OKAYAMA UNIVERSITY
RESEARCH ON NORM INEQUALITIES IN BANACH SPACES AND ITS APPLICATIONS
- Principal Investigator
  
  TAKAHASHI Yasuji
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  OKAYAMA PREFECTURAL UNIVERSITY
OPERATOR-ANALYTICAL STUDY OF SINGULARITIES OF HAMILTONIANS IN QUANTUM PHYSICS
- Principal Investigator
  
  HIROKAWA Masao
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  OKAYAMA UNIVERSITY
RESEARCH ON STRUCTURAL THEORY OF BANACH SPACES AND ITS APPLICATIONS
- Principal Investigator
  
  TAKAHASHI Yasuji
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  OKAYAMA PREFECTURAL UNIVERSITY
Synthetic Study for Real Analysis and its ApplicationsPrincipal Investigator
- Principal Investigator
  
  SATO Ryotaro
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  OKAYAMA UNIVERSITY
United Study of Functional and Real Analysis
- Principal Investigator
  
  OHYA Masanori
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  解析学
- Research Institution
  Science University of Tokyo
Skew Polynomial Rings and Regular Rings
- Principal Investigator
  
  HIRANO Yasuyuki
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Okayama University
Research on Geometry and Probability in Banach Spaces and its Applications
- Principal Investigator
  
  TAKAHASHI Yasuji
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Okayama Prefectural University
多様体の幾何構造と位相
- Principal Investigator
  
  KATSUDA Atsushi
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Okayama University
幾何構造と位相構造
- Principal Investigator
  
  酒井隆
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Okayama University
環の分離拡大とガロア理論
- Principal Investigator
  
  永原賢
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Okayama University
多様体とコホモロジー論
- Principal Investigator
  
  島川和久
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Okayama University
三角和の評価とその応用
- Principal Investigator
  
  鹿野健
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Okayama University
エルゴ-ド理論の実解析的方法による研究Principal Investigator
- Principal Investigator
  
  佐藤亮太郎
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Okayama University
符号理論と代数幾何
- Principal Investigator
  
  兼田均
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Okayama University
無限次元空間の測定とその応用
- Principal Investigator
  
  TAKAHASHI Yasuji
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Okayama University
多項式環と分離拡大
- Principal Investigator
  
  永原賢
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Okayama University
指数和の評価とその応用
- Principal Investigator
  
  鹿野健
- Project Period (FY)
  1987 – 1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Okayama University
指数和の方法とその応用
- Principal Investigator
  
  鹿野健
- Project Period (FY)
  1986
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Okayama University

All 2005 2004 2003

All Journal Article

[Journal Article] On the range of a closed operator in an $Lsb 1$-space of vector-valued functions2005
- Author(s)
  R.Sato
- Journal Title
  
  Comment. Math. Univ. Carolin. 46
  
  Pages : 349-367
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540155
[Journal Article] On the range of a closed operator in an $Lsb 1$-space of vector-valued functions2005
- Author(s)
  R.Sato
- Journal Title
  
  Comment.Math.Univ.Carolin. 46
  
  Pages : 349-367
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540155
[Journal Article] Solvability of the functional equation f=(T-I)h for vector-valued functions2004
- Author(s)
  Ryotaro Sato
- Journal Title
  
  Colloq.Math. 99
  
  Pages : 253-265
- Data Source
  KAKENHI-PROJECT-15540179
[Journal Article] Solvability of the functional equation f=(T-I)h for vector valued functions2004
- Author(s)
  Ryotaro Sato
- Journal Title
  
  Colloquium Mathematicum 99
  
  Pages : 253-265
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540179
[Journal Article] Solvability of the functional equation f=(T-I)h for vector-valued functions2004
- Author(s)
  R.Sato
- Journal Title
  
  Colloq. Math. 99・2
  
  Pages : 253-265
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540155
[Journal Article] Solvability of the functional equation f=(T-I)h for vector-valued functions2004
- Author(s)
  R.Sato
- Journal Title
  
  Colloq.Math. 99・2
  
  Pages : 253-265
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540155
[Journal Article] Vector valued ergodic theorems for multiparameter additive processes II2003
- Author(s)
  Ryotaro Sato
- Journal Title
  
  Colloquium Mathematicum 97
  
  Pages : 117-129
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540179
[Journal Article] Ergodic properties of continuous parameter additive processes2003
- Author(s)
  Ryotaro Sato
- Journal Title
  
  Taiwanese Journal of Mathematics 7
  
  Pages : 347-390
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540179

1. TAKAHASHI Yasuji (30001853)

# of Collaborated Projects : 7results

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2. HIRANO Yasuyuki (90144732)

# of Collaborated Projects : 6results

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3. TANAKA Naoki (00207119)

# of Collaborated Projects : 6results

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4. 兼田均 (10093014)

# of Collaborated Projects : 5results

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5. 鹿野健 (90020669)

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6. TAKAHASHI Sin-ei (50007762)

# of Collaborated Projects : 4results

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7. TAMURA Hideo (30022734)

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8. 永原賢 (70032802)

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9. 酒井隆 (70005809)

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10. 三村護 (70026772)

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11. KATSUDA Atsushi (60183779)

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12. KAWABATA Hiroaki (70081271)

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13. TAKAHASHI Hiromitsu (30109889)

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14. KATO Mikio (50090551)

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15. 実方宣洋 (70033355)

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16. AIKAWA Tetsuya (40032817)

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17. IKEHATA Shuichi (20116429)

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18. TASAKA Takashi (60012407)

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19. KOMATSU Hiroaki (10178361)

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20. 冨永久雄 (70032787)

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21. HIROKAWA Masao (70282788)

# of Collaborated Projects : 2results

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22. TANAKA Katsumi (60207082)

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23. HIROSHIMA Fumio (00330358)

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24. MATSUMOTO Toshitaka (20229561)

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25. 島川和久 (70109081)

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26. 藤井道一 (90033141)

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27. OHYA Masanori (90112896)

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28. TAJIMA Shinichi (70155076)

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29. KAWAMURA Shinzo (50007176)

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30. KITA Hiro-o (20224941)

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31. HASEGAWA Shigeru (50052832)

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32. YAMADA Hirofumi (40192794)

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33. KOBAYASHI Yoshikazu (80092691)

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34. ASAKURA Fumioki (20140238)

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35. SOBUKAWA Takuya (60252946)

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36. 坂田ひろし (60032752)

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37. 成瀬弘 (20172596)

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38. 辛崎秀樹 (20186612)

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39. 竹中茂夫 (80022680)

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40. SANO Shigeru

# of Collaborated Projects : 1results

# of Collaborated Products : 0results

SATO Ryotaro 佐藤 亮太郎

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Synthetic Study for Real Analysis and its ApplicationsPrincipal Investigator

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SATO Ryotaro 佐藤亮太郎