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MIYAMOTO Ikuko  宮本 育子

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… 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
  • Research Projects

    (10 results)
  • Research Products

    (37 results)
  • Co-Researchers

    (28 People)
  •  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

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