MIYAMOTO Ikuko 宮本育子

… Alternative Names

宮本育子ミヤモトイクコ

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Researcher Number	00009606
Affiliation (based on the past Project Information) *help	2007 – 2009: Chiba University, 大学院・理学研究科, 教授 2000 – 2006: 千葉大学, 理学部, 助教授 1997: 千葉大学, 理学部, 助教授 1993: 千葉大学, 理学部, 助手 1988 – 1989: 千葉大学, 理学部, 助手 1986: 千葉大学, 理学部, 助手
Review Section/Research Field	Principal Investigator Basic analysis / Basic analysis Except Principal Investigator General mathematics (including Probability theory/Statistical mathematics) / Global analysis / 解析学 / 代数学・幾何学 / Basic analysis
Keywords	Principal Investigator rarefied sets / minimally thin sets / シリンダー / コーン / ディリクレ問題 / 非有界領域 / cylinder / cone / unbounded domain / Dirichlet Problem … More / temperature / 熱方程式 / temperatur / heat equation / exceptional sets / strip / 除外集合 / ストリップ / minimum principle / minimum princinle / 調和関数 / ガウスワイヤストラス核 / ポアソン核 / 複素解析 … More Except Principal Investigator Operator space / Haagerup tensor product / irrational ratotion algebra / K-group / stable rank / real rank / c^-algebra / operator algebra / 作用素空間 / C^-環 / 作用素環 / 作業素空間 / ハーゲラップ積 / 無理数回転環 / K-群 / 安定次元 / 実次元 / C-環 / 作業素環 / Mathematics for Programming / Mathematical Programming / Bellman Equation / Fuzzy Theory / Dynamic Programming / Markov decision Processes / bootstrap法 / Norund総和法 / monotone property / 調和関数 / Dirichlet問題 / 最適停止問題 / fuzzy ulation / Markov決定過程 / ファジィ集合 / 意志決定論 / 逐次決定過程 / 不確実性 / 数理モデルの解析 / 最適化問題 / 数理計画法 / 計画数学 / ベルマン方程式 / ファジィ理論 / 動的計画法 / マルコフ決定過程 / 01Theorem of Phragmen-Lindelof type / p-block of a finite Group / Sylow p-subgroup / Chern class / Bogomolov-Gieseker type inequality / Einstein-Kahler metric / Dirichlet Problem / least harmonic majorant / システム理論 / 差分方程式 / アイゼンシュタイン級数 / ツェ-タ-関数 / 境界値問題 / 劣調和関数 / ポテンシヤル論 / II型因子環 / ラプラスーベルトラミ-演算子 / アインスタインーケェ-ラ-計量 / デイリクレ問題 / 最小調優関数 / フラグマンーリンデレ-フ型の定理 / II_1型因子環 / ブラウァ-対応 / モジュラ-表現 / ラプラスーベルトラミー演算子 / アインスタインーケェラ-計量 / ディリクレ問題 / 最小調和優関数 / フラグマン-リンデレ-フ型の定理 / 回帰モデルのロバストネス / 補助情報を用いた最適層別問題 / ゲーム論的多段決定過程 / 不完備情報をもつ停止問題 / H-分離拡大 / 分離拡大 / 群環 / 擬微分作用素 / 無限階微分方程式 / 微分・差分方程式 / 偏微分方程式 / 超局所解析学 / 演算子法 / 整函数 / 代数解析学 / 畳込み方程式 / 非局所微分方程式 / 漸近展開 / ジャックナイフ統計量 / リサンプル法 / ファジー極限 / ファジーポテンシャル / ファジー推移関係 / 多段決定過程 Less

Algebraic analytical study of non-local differential Equations and convolution equations
- Principal Investigator
  
  ISHIMURA Ryuichi
- Project Period (FY)
  2007 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Chiba University
Research of the potential theory for elliptic type or parabolic type in unbounded domains and its consideration in stochastic analysisPrincipal Investigator
- Principal Investigator
  
  MIYAMOTO Ikuko
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Chiba University
Research of the solutions of the partial differential equation of elliptic type or parabolic type in unbounded domains and its stochastic analysis considerationPrincipal Investigator
- Principal Investigator
  
  MIYAMOTO Ikuko
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Chiba University
Research of an integration representation of the solutions of the partial differential equation of elliptic type in unbounded domains and its stochastic analysis considerationPrincipal Investigator
- Principal Investigator
  
  MIYAMOTO Ikuko
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Chiba University
The geometric structure of operator algebras
- Principal Investigator
  
  MASARU Nagisa
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Chiba University
Mathematical analysis of System Modeling and their applications
- Principal Investigator
  
  YASUDA Masami
- Project Period (FY)
  1997 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (B).
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Chiba University
多段決定過程と情報構造
- Principal Investigator
  
  NAKAGAMI Jun-ichi
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Chiba University
Potential Theory and its Applications
- Principal Investigator
  
  YOSHIDA Hidenobu
- Project Period (FY)
  1989 – 1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Chiba University
非線型解析学と多段決定過程
- Principal Investigator
  
  中神潤一
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Chiba University
環および余多元環の拡大理論
- Principal Investigator
  
  平田和彦
- Project Period (FY)
  1986
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Chiba University

All 2009 2008 2007 2006 2005 2004 Other

All Journal Article Presentation Book

[Book] 初歩から学べるフーリエ解析2005
- Author(s)
  吉田英信, 宮本育子
- Total Pages
  173
- Publisher
  培風館
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540138
[Journal Article] On a covering Property of Minimally thin sets at infinity in a cone2009
- Author(s)
  I. Miyamoto, H. Yoshida
- Journal Title
  
  Advances Appl.Math.Sci. 1
  
  Pages: 361-380
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540166
[Journal Article] On a covering Property of Minimally thin sets at infinity in a cone2009
- Author(s)
  I.Miyamoto, H.Yoshida
- Journal Title
  
  Advances Appl.Math.Sci. 1
  
  Pages: 361-380
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540166
[Journal Article] On a covering property of minimally thin sets at infinity in a cylinder2008
- Author(s)
  I. Miyamoto, H. Yoshida
- Journal Title
  
  Mathematica Montinigri 21
  
  Pages: 35-54
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540166
[Journal Article] On a covering Property of Minimally thin sets at infinity in a cylinder2008
- Author(s)
  I. Miyamoto, H. Yoshida
- Journal Title
  
  Mathematica Montisnigri 21
  
  Pages: 35-54
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540166
[Journal Article] On a-minimally thin sets at infinity in a cone2007
- Author(s)
  I. Miyamoto, H. Yoshida
- Journal Title
  
  Hiroshima Math.J. 37
  
  Pages: 61-80
- NAID
  110006197821
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540166
[Journal Article] On a-minimally thin sets at infinity in a cone2007
- Author(s)
  I. Miyamoto, H. Yoshida
- Journal Title
  
  Hiroshima Math. J 37
  
  Pages: 61-80
- NAID
  110006197821
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540166
[Journal Article] On a-minimally thin sets at infinity in a cone2007
- Author(s)
  I.Miyamoto, H.Yoshida
- Journal Title
  
  Hiroshima Math. J. 37
  
  Pages: 61-80
- NAID
  110006197821
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540138
[Journal Article] Two criteria of Wiener type for minimally thin sets and rarefied sets in a cylinder2007
- Author(s)
  I. Miyamoto
- Journal Title
  
  Hokkaido Math.J. 36
  
  Pages: 507-534
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540166
[Journal Article] On a-minimally thin sets at infinity in a cone2007
- Author(s)
  I.Miyamoto, H.Yoshida
- Journal Title
  
  Hiroshima Math. J., 37
  
  Pages: 61-80
- NAID
  110006197821
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540138
[Journal Article] Two criteria of Wiener type for minimally thin sets and rarefied sets in a cylinder2007
- Author(s)
  I. Miyamoto
- Journal Title
  
  Hokkaido Math. J 36
  
  Pages: 507-534
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540166
[Journal Article] On a covering property of rarefied sets at infinity in a cone2006
- Author(s)
  I.Miyamoto, H.Yoshida
- Journal Title
  
  Advanced Studies in Pure Math., 44
  
  Pages: 233-244
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540138
[Journal Article] On a covering property of rarefied sets at infinity in a cone2006
- Author(s)
  I.Miyamoto, H.Yoshida
- Journal Title
  
  Advanced Studies in Pure Math. 44
  
  Pages: 233-244
- Data Source
  KAKENHI-PROJECT-16540138
[Journal Article] On harmonic majorization of the Martin function at infinity in a cone2005
- Author(s)
  I.Miyamoto, M.Yanagishita, H.Yoshida
- Journal Title
  
  Czecho. Math. J., 55
  
  Pages: 1041-1054
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540138
[Journal Article] On harmonic majorization of the Martin function at infinity in a cone2005
- Author(s)
  I.Miyamoto, M.Yanagishita, H.Yoshida
- Journal Title
  
  Czecho.Math.J. 55
  
  Pages: 1041-1054
- Data Source
  KAKENHI-PROJECT-16540138
[Journal Article] Some characterizations of minimally thin sets in a cylinder and Beuring-Dahlberg-Sjogren type theorems2005
- Author(s)
  I.Miyamoto, M.Yanagishita
- Journal Title
  
  Proc. Amer. Math. Soc., 133(5)
  
  Pages: 1391-1400
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540138
[Journal Article] "Some characterizations of minimally thin sets in a cylinder and Beuring-Dahlberg-SjY" {o}gren type theorems2005
- Author(s)
  I.Miyamoto, M.Yanagishita
- Journal Title
  
  Proc. Amer. Math. Soc. 133
  
  Pages: 1391-1400
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540138
[Journal Article] On harmonic majorization of the Martin function at infinity in a cone2005
- Author(s)
  I.Miyamoto, M.Yanagishita, H.Yoshida
- Journal Title
  
  Czecho. Math. J. 55
  
  Pages: 1041-1054
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540138
[Journal Article] Some characterizations of minimally thin sets in a cylinder and Beurling-Dahlberg-Sjogren type theorems2005
- Author(s)
  I.Miyamoto, M.Yanagishita
- Journal Title
  
  Proc.Amer.Math.Soc. 46
  
  Pages: 1391-1400
- Data Source
  KAKENHI-PROJECT-16540138
[Journal Article] Some characterization of minimally thin sets in a cylinder and Beurling-Dahlberg-Sjogren type theorems2005
- Author(s)
  I.Miyamoto, M.Yanagishita
- Journal Title
  
  Proc.Amer.Math.Soc. 46
  
  Pages: 1391-1400
- Data Source
  KAKENHI-PROJECT-16540138
[Journal Article] Beuring' s minimum principle in a cylinder2004
- Author(s)
  I.Miyamoto, M.Yanagishita
- Journal Title
  
  Complex variables 49
  
  Pages: 155-167
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540138
[Journal Article] Beurling's minimum principle in a cylinder2004
- Author(s)
  I.Miyamoto, M.Yanagishita
- Journal Title
  
  Complex variables 49
  
  Pages: 155-167
- Data Source
  KAKENHI-PROJECT-16540138
[Journal Article] Beurling's minimum principle in a cylinder,2004
- Author(s)
  I.Miyamoto, M.Yanagishita
- Journal Title
  
  Complex variables, 49(3)
  
  Pages: 155-167
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540138
[Journal Article] Two criteria of Wiener type for minimally thin sets and rarefied sets in a cylinder
- Author(s)
  I.Miyamoto
- Journal Title
  
  Hokkaido Math. J., (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540138
[Journal Article] On a covering property of rarefied sets at infnity in a cone
- Author(s)
  I.Miyamoto, H.Yoshida
- Journal Title
  
  Advanced Studies in Pure Math. (to appear)
- Data Source
  KAKENHI-PROJECT-16540138
[Journal Article] On a covering property of rarefied sets at infnity in cone
- Author(s)
  I.Miyamoto, H.Yoshida
- Journal Title
  
  Advanced Studies in Pure Math. (to appear)
- Data Source
  KAKENHI-PROJECT-16540138
[Journal Article] Two criteria of Wiener type for minimally thin sets and rarefied sets in a cylinder
- Author(s)
  I.Miyamoto
- Journal Title
  
  Hokkaido Math. J. to appear
- Data Source
  KAKENHI-PROJECT-16540138
[Presentation] A result of Azarin and rarefied sets at infinity in a cone2009
- Author(s)
  宮本育子, 吉田英信
- Organizer
  Analysis Seminar
- Place of Presentation
  バル・イラン大学
- Data Source
  KAKENHI-PROJECT-19540166
[Presentation] A result of Azar in and rarefied sets at infinity in a cone2009
- Author(s)
  I.Miyamoto, H.Yoshida
- Organizer
  Analysis Seminar
- Place of Presentation
  バル・イラン大学(イスラエル、テルアビブ)
- Year and Date
  2009-10-26
- Data Source
  KAKENHI-PROJECT-19540166
[Presentation] シリンダー内の無限遠点での minimally thin な集合の定量的な特徴付け2008
- Author(s)
  宮本育子, 吉田英信
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  東工大
- Data Source
  KAKENHI-PROJECT-19540166
[Presentation] Property of Minimally thin sets at infinity in a cylinder2008
- Author(s)
  宮本育子, 吉田英信
- Organizer
  Analysis Seminar
- Place of Presentation
  モンテネグロ大学
- Data Source
  KAKENHI-PROJECT-19540166
[Presentation] Qualitative or quantitative properties of minimally thin sets at infinity on a cone2008
- Author(s)
  宮本育子, 吉田英信
- Organizer
  Analysis Seminar
- Place of Presentation
  モスクワ大学
- Data Source
  KAKENHI-PROJECT-19540166
[Presentation] シリンダー内の無限遠点でのminimally thinな集合の定量的な特徴付け2008
- Author(s)
  宮本育子
- Organizer
  日本数学会
- Place of Presentation
  東京工業大学
- Data Source
  KAKENHI-PROJECT-19540166
[Presentation] コーン内の無限遠点でのminimally thin な集合の定量的な特徴付け2007
- Author(s)
  宮本育子
- Organizer
  日本数学会
- Place of Presentation
  東北大学
- Data Source
  KAKENHI-PROJECT-19540166
[Presentation] コーン内のa-minimal な集合の被覆定理2007
- Author(s)
  宮本育子, 吉田英信
- Organizer
  ポテンシャル論研究集会
- Place of Presentation
  千葉大
- Data Source
  KAKENHI-PROJECT-19540166
[Presentation] コーン内の無限遠点での minimally thin な集合の定量的な特徴付け2007
- Author(s)
  宮本育子, 吉田英信
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  東北大
- Data Source
  KAKENHI-PROJECT-19540166
[Presentation] On a covering property of minimally thin sets at infinity in a cylinder2007
- Author(s)
  宮本育子, 吉田英信
- Organizer
  フィンランド・日本合同解析セミナー
- Data Source
  KAKENHI-PROJECT-19540166

1. YOSHIDA Hidenobu (60009280)

# of Collaborated Projects: 8 results

# of Collaborated Products: 24 results
2. NAKAGAMI Jun-ichi (30092076)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
3. NAGISA Masaru (50189172)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
4. TANEMURA Hideki (40217162)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
5. TATUI Hiroki (40345012)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
6. TSUTSUI Toru (00197732)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
7. 田栗正章 (10009607)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
8. ISHIMURA Ryuichi (10127970)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
9. OKADA Yasunori (60224028)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
10. SHIMOMURA Katunori (00201559)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
11. TAKAGI Ryoichi (00015562)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
12. SUGIYAMA Ken-ichi (90206441)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
13. 志賀弘典 (90009605)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
14. FUJIKAWA Ege (80433788)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. KOSHITANI Sigeo (30125926)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. YANAGIHARA Niro (70009041)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. YASUDA Masami (00041244)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. KURANO Masami (70029487)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. NAKAI Toru (20145808)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. IWAMOTO Seiichi (90037284)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
21. ITOH Takashi (40193495)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
22. KODAKA Kazunori (30221964)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
23. 平田和彦 (80020296)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
24. 沢栗利男 (50009271)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
25. 吉田祐治 (90192426)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
26. 門田良信 (90116294)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
27. 久我健一 (30186374)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
28. 奥山安男 (70020980)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

MIYAMOTO Ikuko 宮本 育子

宮本 育子 ミヤモト イクコ

Research Projects

Research Products

Co-Researchers

Algebraic analytical study of non-local differential Equations and convolution equations

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Research of the potential theory for elliptic type or parabolic type in unbounded domains and its consideration in stochastic analysisPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Research of the solutions of the partial differential equation of elliptic type or parabolic type in unbounded domains and its stochastic analysis considerationPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Research of an integration representation of the solutions of the partial differential equation of elliptic type in unbounded domains and its stochastic analysis considerationPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

The geometric structure of operator algebras

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Mathematical analysis of System Modeling and their applications

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

多段決定過程と情報構造

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Potential Theory and its Applications

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

非線型解析学と多段決定過程

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

環および余多元環の拡大理論

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Book] 初歩から学べるフーリエ解析2005

Author(s)

Total Pages

Publisher

Description

Data Source

[Journal Article] On a covering Property of Minimally thin sets at infinity in a cone2009

Author(s)

Journal Title

Data Source

[Journal Article] On a covering Property of Minimally thin sets at infinity in a cone2009

Author(s)

Journal Title

Data Source

[Journal Article] On a covering property of minimally thin sets at infinity in a cylinder2008

MIYAMOTO Ikuko 宮本育子

宮本育子ミヤモトイクコ