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NAGASE Michihiro

ORCIDConnect your ORCID iD *help
… Alternative Names

長瀬 道弘  ナガセ ミチヒロ

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Researcher Number 70034733
Affiliation (based on the past Project Information) *help 2004: Osaka University, Graduate School of Science, Professor
1997 – 2002: 大阪大学, 大学院・理学研究科, 教授
1999: 大阪教育大学, 教育学部, 教授
1994 – 1995: 大阪大学, 理学部, 教授
1989 – 1993: 大阪大学, 教養部, 教授 … More
1988: 大阪大学, 教養学部, 助教授
1987: 大阪大学, 教養部, 助教授
1986: 阪大, 教養部, 助教授 Less
Review Section/Research Field
Principal Investigator
解析学 / Basic analysis
Except Principal Investigator
Basic analysis / Geometry / 代数学・幾何学 / 解析学 / Algebra / General mathematics (including Probability theory/Statistical mathematics) / Basic analysis
Keywords
Principal Investigator
擬微分作用素 / 表象 / 量子化ハミルトニアン / ウェーブレット / シュレディンガ-方程式 / 磁場 / 相対論 / スペクトル解析 / 定数磁場 / シュレディンガー方程式 … More / 多重解像度解析 / 超局所解析 / 本質的自己共役性 / ディラック方程式 / 非相対論 / ハミルトニアン / 自己共役 / 多重表象 / 基本層度関数 / 【L^p】(【R^n】)-有界 / ウィグナー・ディストリビューション / コンパクト作用素 / スペクトル不変性 / ポテンシャル / フーリエ解析 / レゾルベント / L^2空間 / symbol / Wigner distribution / compact operators / spectral inveriance / quantized Hamiltonian / Potential / 時間周波数解析 / 画像処理 / フーリエ変換 / 通信理論 / 特異性 / フレーム / ガボール変換 / 多重ウェーブレット / L^2(R^n)-空間 / 完全正規直交系 / wavelet / time-frequency analysis / image processing / Fourier Transformation / microlocal analysis / communication / pseudo-differential / singularity / 分散型方程式 / 指数定理 / 平滑化作用 / バーガーズ方程式 / シュレーディンガー方程式 / KdV方程式 / Krein理論 / マルチンゲール / シュレーディンガー作用素 / スペクトル / 超関数 / 波面集合 / L^p(R^n)-有界性 / 磁場ポテンシャル / 量子化 / dispersive equation / index theorem / smoothing property / Wavelet / Burgers equation / Schroedinger equation / KdV equation / Krein's theory … More
Except Principal Investigator
超局所解析 / image processing / フィルタ / 時間周波数解析 / ウェーブレット解析 / 画像処理 / ウェーブレット / microlocal analysis / filter / time frequency analysis / wavelet analysis / 複素構造 / 保型形式 / シュレディンガー方程式 / マルチウェーブレット / multiwavelet / 境界値問題 / フレーム / wavelet / アインシュタイン方程式 / ヤン・ミルズ方程式 / 変分原理 / 非線型熱方程式 / 不安定な解 / ヤン・ミルズ場のモジュライ / 双曲型作用素 / 双曲系 / 局所化作用素 / 双曲錐 / 伝播錐 / 時間関数 / 線形性空間 / 複素多様体 / 基本群 / 分岐被覆 / モノドロミー群 / パッフ系 / モジュライ空間 / コンパクト化 / Einstein-Kahler計量 / 擬ノルム構造 / 極限擬ノルム構造 / Torelli型定理 / stability / 次元公式 / 有界対称領域 / 代数群 / ゼータ函数 / 概均質ベクトル空間 / 特殊値 / 跡公式 / ゼータ関数 / アイゼンシュタイン級数 / ジーゲル保型形式 / convolution product / プレート方程式 / 弾性波動方程式 / プレート方式 / 可逆マルコフ過程 / 可逆拡散過程 / ディクレ形式 / マルチンゲール問題 / 多重劣調和関数 / 閉正カレント / モンジュ・アンペール作用素 / 再帰性 / 擬微分作用素 / 線形計画法 / 非線形計画法 / 最適化問題 / 確率過程 / 対称化可能系 / 強双曲系 / 包合的 / 非退化特性点 / 双曲摂動 / 局所化 / 対称化 / 非退化特異点 / symmetrizable system / strong hyperbolicity / involutive / non degenerate / hyperbolic perturbation / localization / ケーラー多様体 / 変形 / 代数多様体 / デイラック型作用素 / 擬等角写像 / ディラック型作用素 / L^2評価 / 森理論 / 倉西空間 / 直線束 / Kahler manifold / deformation / algebraic manifold / complex structure / Dirac-type operata / guasi-conformal mapping / ウィーナー空間 / 確率解析 / 確率振動積分 / ウィナー空間 / Wiener space / stochastic analysis / stochastic oscillatory integral / Wavelet / Matlab / 正規直交ウェーブレット / 古典的ハーディ空間 / 佐藤の超関数 / 微分方程式ソルバー / D-加群 / lacuna / シュレーディンガー方程式 / 解複体 / 基本解 / ラキュナ / マイクロ函数 / Boundary value problem / D-module / Lacuna / Schrodinger equation / 振動積分 / フーリエ積分作用素 / 大域的有界性 / 初期値問題 / Lp-解析 / 正準変換 / 平滑化作用 / 双曲型方程式 / 除去可能特異点 / 波動方程式 / ポテンシャル / Oscillatory Integral / Fourier Integral Operator / Global boundedness / Schoedinger equation / Cauchy Problem / Lp-Analysis / Coronical transform / Smoothing effect / ウェーブレットフレーム / wavelet frame / 変分問題 / 発展方程式 / 曲線 / 曲面 / 弾性曲線 / 極小曲面 / 非連結 / 境界 / 部分多様体 / 一般次元 / 極小部分多様体 / 平均曲率一定超曲面 / 運動方程式 / 解の滑らかさ / Variational problem / Evolution equation / curve / surface / システム同定 / tight frame / multiresolution_analysis / microlocal filtering / singular value decomposition / pseudodifferential operator / neural network / frame / system identification Less
  • Research Projects

    (26 results)
  • Co-Researchers

    (53 People)
  •  Microlocal filtering with wavelet frames multiresolution analysis

    • Principal Investigator
      MORIMOTO Akira, 芦野 隆一
    • Project Period (FY)
      2003 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Osaka Kyoiku University
  •  Variational problem and evolution equation of curves and surfaces

    • Principal Investigator
      KOISO Norihito
    • Project Period (FY)
      2002 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  Microlocal analysis and pseudo-differential operatorsPrincipal Investigator

    • Principal Investigator
      KOTANI Shinichi, 長瀬 道弘
    • Project Period (FY)
      2002 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Osaka University
  •  Microlocal filtering with multiwavelet frames

    • Principal Investigator
      ASHINO Ryuichi
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Osaka Kyoiku University
  •  Boundary Value Problems and Index Theorem for D-Modules

    • Principal Investigator
      UCHIDA Motoo
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Osaka University
  •  The relation between the quantitative properties of the solutions of partial differential equations and the geometrical structures of their characteristics

    • Principal Investigator
      SUGIMOTO Mitsuru
    • Project Period (FY)
      2000 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Osaka University
  •  Microlocal filtering with multiwavelets

    • Principal Investigator
      ASHINO Ryuichi
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Osaka Kyoiku University
  •  非線型弾性波動方程式

    • Principal Investigator
      小磯 憲史
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  Asymptotic estimates of oscillatory integrals on abstract Wiener space

    • Principal Investigator
      MANABE Shojiro
    • Project Period (FY)
      1998 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (B).
    • Research Field
      Basic analysis
    • Research Institution
      Osaka University
  •  Deformation of kahler manifolds via higher dimensiond guasi-conformd mapping

    • Principal Investigator
      ENOKI Ichiro
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  Pseudodifferential Operators and Schrodinger EquationsPrincipal Investigator

    • Principal Investigator
      NAGASE Michihiro
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      OSAKA UNIVERSITY
  •  Theory of multi-wavelet and its applicationPrincipal Investigator

    • Principal Investigator
      NAGASE Michihiro
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      Osaka University
  •  数理物理学における偏微分方程式と擬微分作用素論Principal Investigator

    • Principal Investigator
      長瀬 道弘
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Osaka University
  •  保型形式とオイラー積の和としてのゼータ関数

    • Principal Investigator
      伊吹山 知義
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  Symmetric systems and strongly hyperbolic systems

    • Principal Investigator
      NISHITANI Tatsuo
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      Osaka University
  •  保型形式の次元公式

    • Principal Investigator
      IBUKIYAMA Tomoyoshi
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  物理数学の方程式と擬微分作用素論Principal Investigator

    • Principal Investigator
      長瀬 道弘
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Osaka University
  •  幾何構造の退化とモジュライのコンパクト化

    • Principal Investigator
      満渕 俊樹
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  複素多様体の基本群と分岐被覆

    • Principal Investigator
      難波 誠
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Osaka University
  •  多重特性点を有す双曲型作用素及び系の研究

    • Principal Investigator
      西谷 達雄
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Osaka University
  •  アインシュタイン計量の熱方程式による研究

    • Principal Investigator
      KOISO Norihito
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Osaka University
  •  擬微分作用素論とハミルトン作用素Principal Investigator

    • Principal Investigator
      長瀬 道弘
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Osaka University
  •  擬微分作用素論とシュレディンガ-方程式Principal Investigator

    • Principal Investigator
      長瀬 道弘
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Osaka University
  •  統計学における数理計画的方法とその応用

    • Principal Investigator
      石井 恵一
    • 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
      Osaka University
  •  可逆拡散過程論とその応用

    • Principal Investigator
      福島 正俊
    • 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
      Osaka University
  •  擬微分作用素論とその応用Principal Investigator

    • Principal Investigator
      長瀬 道弘
    • Project Period (FY)
      1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Osaka University
  • 1.  NISHITANI Tatsuo (80127117)
    # of Collaborated Projects: 12 results
    # of Collaborated Products: 0 results
  • 2.  KOISO Norihito (70116028)
    # of Collaborated Projects: 9 results
    # of Collaborated Products: 0 results
  • 3.  SUGIMOTO Mitsuru (60196756)
    # of Collaborated Projects: 9 results
    # of Collaborated Products: 0 results
  • 4.  MABUCHI Toshiki (80116102)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 5.  UCHIDA Motoo (10221805)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 6.  MANABE Shojiro (20028260)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 7.  NAMBA Makoto (60004462)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 8.  ENOKI Ichiro (20146806)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 9.  ASHINO Ryuichi (80249490)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 10.  竹内 勝 (70028116)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 11.  TAKEGOSHI Kensho (20188171)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 12.  SAKUMA Makoto (30178602)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 13.  USUI Sampei (90117002)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 14.  KOTANI Shinnichi (10025463)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 15.  MORIMOTO Akira (50239688)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 16.  今吉 洋一 (30091656)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 17.  UMEHARA Masaaki (90193945)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 18.  IBUKIYAMA Tomoyoshi (60011722)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 19.  TAKAHASHI Satoshi (70226835)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 20.  大和 健二 (70093474)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 21.  今野 一宏 (10186869)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 22.  福島 正俊 (90015503)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 23.  石井 恵一 (80029420)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 24.  ISOZAKI Yasuki (90273573)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 25.  CHODA Hisashi (00030338)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 26.  TANUMA Kazumi (60217156)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 27.  MACHIGASHIRA Yoshiro (00253584)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 28.  MATSUMURA Akitaka (60115938)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 29.  IOHARA Takao (00294140)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 30.  TAKEUCHI Jiro (80082402)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 31.  NAKAI Eiichi (60259900)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 32.  MANDAI Takeshi (10181843)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 33.  渡部 隆夫 (30201198)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 34.  宇野 勝博 (70176717)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 35.  大津 幸男 (80233170)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 36.  佐藤 正次 (60029585)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 37.  水野 克彦 (70029586)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 38.  柴田 敬一 (90029588)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 39.  重川 一郎 (00127234)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 40.  SUZUKI Takashi (40114516)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 41.  FUJOWAR Alcio (30251359)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 42.  井川 満 (80028191)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 43.  森藤 伸哉 (30273832)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 44.  ATSUJI Atsushi (00221044)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 45.  MITOMA Itaru (40112289)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 46.  小松 玄 (60108446)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 47.  KATAYAMA Yoshikazu (10093395)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 48.  SUGAHARA Kunio (20093255)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 49.  小山 晃 (40116158)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 50.  GOTO Ryuji (30252571)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 51.  FURIHATA Daisuke (80242014)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 52.  岩崎 千里 (30028261)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 53.  MORIOKA Tatsushi (80239631)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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