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IKAWA Mitsuru  井川 満

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Researcher Number 80028191
External Links
Affiliation (based on the past Project Information) *help 2006: 京都大学, 大学院理学研究科, 教授
1999 – 2006: Kyoto Univ., Graduate School of Science, Professor, 大学院・理学研究科, 教授
2002: 京都大学, 理学部, 教授
2001: Kyoto University, Graduate School of Sciences, Professor, 大学院・数理科学研究科, 教授
1998: 大阪大学, 大学院・理学研究所, 教授
1996 – 1998: Graduate School of Sciences, Osaka Univ., Prof., 大学院・理学研究科, 教授
1986 – 1995: 大阪大学, 理学部, 教授
Review Section/Research Field
Principal Investigator
解析学 / Global analysis / Global analysis
Except Principal Investigator
解析学 / Basic analysis / General mathematics (including Probability theory/Statistical mathematics) / Basic analysis / General mathematics (including Probability theory/Statistical mathematics)
Keywords
Principal Investigator
散乱理論 / ゼータ関数 / 波動方程式 / 逆問題 / 双曲型方程式 / 極 / 量子力学 / 散乱行列 / 散乱 / 弾性方程式 … More / スペクトル / zeta function / inverse problems / シュレ-ディンガー作用素 / Spectrum / Scattering Theory / 特異性の伝播 / 準楕円性 / 古典力学 / 散乱核 / 有理型 / 地震波 / ゼーター関数 / 特異性 / WKB method / quantum mechanics / system of the classical mechanics / modified Lax-Phillips conjecture / scattering matrix / wave equation / 散乱極 / 修正版ラックス-ヒリップス予想 / WKB法 / 古典力学系 / 修正版Lax-Phillips予想 / pole / meromorphic / chaos / Ruelle operator / clssical dynamics / 波動 / 有利型 / カオス / Ruelle作用素 / Dirac operator / scattering / hypoellicptic / evolution equations / differential equations / 可積分系 / schroedinger方程式 / 周期解 / 力学系 / Dirac作用素 / 発展方程式 / 微分方程式 / Schrodinger operators / Einstein metric / Greobner basis / Numerical analysis / Inverse problem / Scattering / ランダム媒質 / 非適切問題 / 正則化 / グラフィク / Einstein計算 / Einstein計量 / Greobner base / 数値解析 / nonlinear phenomenon / well posedness / elastic equation / wave of earthquake / scattering theory / partial differential equations / 非線型現象 / 適切性 / 偏微分方程式 / Manifold / Laplacian / Zeta Function / Quantum Mechanics / Wave Equation / Hyperbolic Equation / 漸近展開 / 幾何光学 / エルゴ-ド性 / ゼ-タ関数 / 多様体 / ラプラシアン / ゼ-タ-関数 / Hypoellipticity / Hyperbolic Equations / Elastic Equations / 回折 / 超局所解析 / エネルギ-の減衰 / 波動作用素 / 多体問題 / 双曲系方程式 / 閉測地線 / 形式的力学系 / エルゴード理論 / modified Lax and Phillips conjecture / 絶対収束軸 / 凸な物体 / ベクトル値関数 / 漸近解 / 散乱論 / エルゴード性 … More
Except Principal Investigator
超局所解析 / Schrodinger方程式 / 漸近安定性 / 散乱理論 / 波動方程式 / 極限定理 / 非相対論的極限 / Absence of eigenvalues / 固有値の非存在 / Microlocal analysis / Smoothing effects / Propagation of singularities / Unique continuation / Maxwell equation / Dirac equation / Schrodinger equation / シュレーディンガー方程式 / 平滑化効果 / 特異性の伝播 / マックスウエル方程式 / ディラック方程式 / シュレディンガー方程式 / 数値解析 / 数学解析 / 応用逆問題 / 逆問題 / 擬微分作用素 / 非線型偏微分方程式 / 偏微分方程式 / スペクトル理論 / S行列 / 多体問題 / 楕円型方程式 / 初期値問題 / 基本解 / poles of scattering matrix / decay of wave motions / observability semigroup / controllability / evolution operator / parabolic equation / time delay / 解の減衰 / 漸近展開 / 漸近行動 / 比重付楕円型評価 / 初期境界値問題 / ヴォルテラ型積分微分方程式 / ハミルトン作用素 / 散乱行列の極 / 波動の減衰 / 半群 / 可観測性 / 可制御性 / 放物型方程式 / 時間的おくれ / Non-relativistic limit / Resonance / Limiting absorption principle / Dirac operator / 一意接続定理 / スペクトル問題 / レゾナンス / 極限吸収原理 / ディラック作用素 / regularization / instability / numerical analysis / mathematical analysis / Inverse problem / 安定性 / 正則化法 / 数値解法 / 正則化 / 不安定性 / Besov spaces / Fourier restriction norm method / Nonlinear Schrodinger equations / Unconditional uniqueness / Long range interaction / Nonlinear scattering theory / Modified KdV / Well-posedness / 初期層 / 非線形Dirac方程式 / 初期値に関する一様連続依存性 / 非線形シュレディンガー方程式 / 孤立波解 / Benjamin-Bona-Mahony方程式 / エネルギー空間 / 修正KdV方程式 / soliton-defect interaction / 安定性と不安定性 / 定在波解 / 漸近自由 / 解の漸近挙動 / 強い意味での不安定性 / 基底定在波解 / 非線形Klein-Gordon方程式 / 初期値問題の適切性 / 変形Benjamin-Ono方程式 / 解の無条件一意性 / Besov空間 / Fourier制限ノルム法 / 非線形Schrodinger方程式 / 無条件一意性 / 長距離相互作用 / 非線形散乱理論 / 修正KdV / 適切性 / 強一意接続性 / シュレンディンガー方程式 / Klein-Gordon equation / Navier-Stokes equation / viscous solution / scattering theory / nonlinear evolution equation / linear PDE / nonlinear PDE / Shrodinger equation / 超幾何関数 / ナビエ・ストークス方程式 / 非線型波動方程式 / 代数解析 / ショック解 / ランダムな磁場 / 超漸近解析 / シュレーディンガー作用素 / Klein-Gordon方程式 / Navier Stokes equation / 粘性解 / 非線形発展方程式 / 非線形偏微分方程式 / 線形偏微分方程式 / Elliptic system / 解の特異性の伝播 / 解の一意接続性 / 一意持続性 / 楕円形方程式系 / 一意接続性 / 楕円型方程式系 / Huygens operator / moments / conformal gauge transform / coincidence values / tail term of elementary solution / Hadamard coefficients / causal domain / metric principal part / ホイヘンスの原理 / 空隙 / 正規座標系 / ホイヘンス作用素 / モーメント / 共形ゲージ変換 / 同点値 / 基本解の末尾 / アダマール係数 / 因果的領域 / 計量的主要部 / singularity / pseudo-differential / communication / microlocal analysis / Fourier Transformation / image processing / time-frequency analysis / wavelet / 完全正規直交系 / L^2(R^n)-空間 / 多重ウェーブレット / ガボール変換 / フレーム / 多重解像度解析 / 特異性 / 通信理論 / フーリエ変換 / 画像処理 / 時間周波数解析 / ウェーブレット / ソリトン方程式 / Woener汎関数の漸近展開 / 対称拡散過程 / マルチンゲール理論 / Malliauin / 解析性 / 弾性波 / 経路積分 / 固有函数(展開) / シュレーディンガー方程式(作用素) / 作用素 / 散乱 / スペクトル / 共同研究体制 / 散乱行列 / 周期解分岐 / Duffing方程式 / 進行波 / 希薄波 / Burgers方程式 / 粘性的保存則 / 放射条件 / シュレ-ディンガー作用素 / フラクタル / ビリヤード / 閉測地線 / フックス群 / 確率過程 / エルゴード理論 / 力学系 / 普遍定数 / モーザーの漂準形 / 強擬凸領域 / ワイル不変量 / CR不変量 / 複素モンジュ-アンペール境界値問題 / ゼゲー核 / ベルグマン核 / 時間周期解 / 希薄波解 / 進行波解 / 粘弾性体の方程式系 / 粘性的一次元保存則 / 数理物理 / 特異点 / シコレ-ヂィンガ-作用素 / ビスコシイテイ解 / 散乱問題 / 双曲型方程式 / Schrodinger作用素 / 振動積分 / Malliavin calculus / 熱方程式 / Wiener空間 / 漸近理論 / 確率解析 / 究極的ノルム連続 / 離散固有値 / 構造作用素 / 安定化 / 解半群 / 時間遅れ Less
  • Research Projects

    (33 results)
  • Co-Researchers

    (80 People)
  •  On distribution of scattering poles for several convex bodiesPrincipal Investigator

    • Principal Investigator
      IKAWA Mitsuru
    • Project Period (FY)
      2004 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Kyoto University
  •  Structure of Solutions and Geometric Symmetry for Nonlinear Evolution Equations

    • Principal Investigator
      TSUTSUMI Yoshio
    • Project Period (FY)
      2003 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Basic analysis
    • Research Institution
      Kyoto University
      Tohoku University
  •  Mathematical analysis for inverse problems in mathematical scienes and establishment of numerical methods

    • Principal Investigator
      YAMAMOTO Masahiro
    • Project Period (FY)
      2003 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      The University of Tokyo
  •  Unique continuation theorems for systems of partial differential equations and their applications

    • Principal Investigator
      OKAJI Takashi
    • Project Period (FY)
      2003 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      KYOTO UNIVERSITY
  •  応用逆問題の研究動向の調査と研究体制の整備

    • Principal Investigator
      YAMAMOTO Masahiro
    • Project Period (FY)
      2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      The University of Tokyo
  •  Study on the relationships between the classical mechanics and the chaotic properties of wave motionsPrincipal Investigator

    • Principal Investigator
      IKAWA Mitsuru
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Global analysis
    • Research Institution
      Kyoto University
  •  Modern analysis of fundamental structures of solutions to partial differential equations

    • Principal Investigator
      OKAJI Takashi
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Kyoto University
  •  Comprehensive study of differential equations

    • Principal Investigator
      YAJIMA Kenji
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Basic analysis
    • Research Institution
      The University of Tokyo
  •  いくつかの凸な物体による散乱Principal Investigator

    • Principal Investigator
      井川 満
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Global analysis
    • Research Institution
      Kyoto University
      Osaka University
  •  Research on Elementary Solutions to Partial Differential Equations

    • Principal Investigator
      SHIMAKURA Norio
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      TOHOKU UNIVERSITY
  •  Modern analysis of fundamental structures of solutions to partial differential equations

    • Principal Investigator
      OKAJI Takashi
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      KYOTO UNIVERSITY
  •  Synthetic research on differential equationsPrincipal Investigator

    • Principal Investigator
      IKAWA Mitsuru
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      解析学
    • Research Institution
      Osaka University, Graduate School of Sciences
  •  Theory of multi-wavelet and its application

    • 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
  •  地震波の無限自由度空間での解析Principal Investigator

    • Principal Investigator
      井川 満
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Osaka University
  •  シュレ-ディンガー作用素のスペクトル理論

    • Principal Investigator
      磯崎 洋
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Osaka University
  •  流体を記述する非線型偏微分方程式系の数学解析

    • Principal Investigator
      松村 昭孝
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Osaka University
  •  Scattering theory of partial differential equations and its applicationsPrincipal Investigator

    • Principal Investigator
      IKAWA Mitsuru
    • Project Period (FY)
      1994 – 1995
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      解析学
    • Research Institution
      Osaka University
  •  INVERSE PROBLEMS OF SCATTERING : MATHEMATICS,NUMERICAL ANALYSIS AND GRAPHICSPrincipal Investigator

    • Principal Investigator
      IKAWA Mitsuru
    • Project Period (FY)
      1994 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      解析学
    • Research Institution
      Osaka University
  •  スペクトル・散乱理論の総合的研究

    • Principal Investigator
      YAJIMA Kenji
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      解析学
    • Research Institution
      The University of Tokyo
  •  非線型偏微分方程式系の時間大域解の構造

    • Principal Investigator
      MATSUMURA Akitaka
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Osaka University
  •  強擬凸領域における再生核の族の漸近解析

    • Principal Investigator
      小松 玄
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Osaka University
  •  力学系における確率現象の解析的研究

    • Principal Investigator
      盛田 健彦
    • 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
      Osaka University
  •  双曲型偏微分方程式の解の構造の研究Principal Investigator

    • Principal Investigator
      井川 満
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Osaka University
  •  偏微分方程式の初期値問題

    • Principal Investigator
      梶谷 邦彦
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      解析学
    • Research Institution
      University of Tsukuba
  •  多体シュレ-ヂィンガ-作用素の研究

    • Principal Investigator
      磯崎 洋
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Osaka University
  •  Co-operative research of partial differential equations and its applicationsPrincipal Investigator

    • Principal Investigator
      IKAWA Mitsuru
    • Project Period (FY)
      1990 – 1991
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      解析学
    • Research Institution
      Osaka University
  •  Hyperbolic equations and its applicationsPrincipal Investigator

    • Principal Investigator
      IKAWA Mitsuru
    • Project Period (FY)
      1990 – 1991
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      Osaka University
  •  偏微分方程式の作用素論的研究

    • Principal Investigator
      TANABE Hiroki
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Institution
      Osaka University
  •  確率解析と漸近理論の諸問題

    • Principal Investigator
      IKEDA Nobuyuki
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Osaka University
  •  双曲型方程式に対する散乱理論Principal Investigator

    • Principal Investigator
      井川 満
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Osaka University
  •  確率過程および関連する解析学の研究

    • Principal Investigator
      渡辺 毅
    • 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
  •  スペクトル・散乱理論とその周辺

    • Principal Investigator
      池部 晃生
    • Project Period (FY)
      1986
    • Research Category
      Grant-in-Aid for Co-operative Research (B)
    • Research Field
      解析学
    • Research Institution
      Kyoto University
  •  Problems on Partial Differential Equations

    • Principal Investigator
      TANABE Hiraki
    • Project Period (FY)
      1986 – 1987
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      Osaka University
  • 1.  TANABE Hiroki (70028083)
    # of Collaborated Projects: 10 results
    # of Collaborated Products: 0 results
  • 2.  ISOZAKI Hiroshi (90111913)
    # of Collaborated Projects: 9 results
    # of Collaborated Products: 0 results
  • 3.  KOMATSU Gen (60108446)
    # of Collaborated Projects: 8 results
    # of Collaborated Products: 0 results
  • 4.  OKAJI Takashi (20160426)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 5.  IKEDA Nobuyuki (00028078)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 6.  NISHITANI Tatsuo (80127117)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 7.  NAGATOMO Kiyokazu (90172543)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 8.  MORITA Takehiko (00192782)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 9.  ICHINOSE Takashi (20024044)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 10.  NISHIDA Takaaki (70026110)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 11.  MATSUMURA Akitaka (60115938)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 12.  AGEMI Rentaro (10000845)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 13.  SHIGEKAWA Ichiro (00127234)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 14.  KOKUBU Hiroshi (50202057)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 15.  WATANABE Takeshi (50028081)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 16.  NAKAO Shintaro (90030783)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 17.  MOCHIZUKI Kiyoshi (80026773)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 18.  IWASAKI Nobuhisa (70027374)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 19.  YAJIMA Kenji (80011758)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 20.  MORIOKA Tatsushi (80239631)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 21.  TANIGUCHI Masahiko (50108974)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 22.  TSUJISHITA Tooru (10107063)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 23.  KOTANI Shin-ichi (10025463)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 24.  YAMAMOTO Masahiro (50182647)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 25.  ISO Yuusuke (70203065)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 26.  NAKAMURA Gen (50118535)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 27.  SAITOH Saburo (10110397)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 28.  KURODA Sigetoshi (20011463)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 29.  NAKAO Mitsuhiro (10037278)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 30.  TAKAGI Izumi (40154744)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 31.  DOI Shin'ichi (00243006)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 32.  TSUTSUMI Yoshio (10180027)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 33.  KOIKE Tatsuya (80324599)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 34.  加須栄 篤 (40152657)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 35.  梶谷 邦彦 (00026262)
    # of Collaborated Projects: 2 results
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  • 36.  鹿野 忠良 (80028183)
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  • 38.  大山 陽介 (10221839)
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  • 39.  川中子 正 (20214661)
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  • 40.  FUJIWARA Daisuke (10011561)
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  • 41.  SAKANE Yusuke (00089872)
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  • 42.  NAGASE Michihiro (70034733)
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  • 44.  SUGIMOTO Mitsuru (60196756)
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  • 45.  ASHINO Ryuichi (80249490)
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  • 46.  FUJOWAR Alcio (30251359)
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  • 50.  HORIHATA Kazuhiro (10229239)
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  • 51.  NAGASAWA Takeyuki (70202223)
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  • 52.  MAJIMA Hideyuki (50111456)
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  • 53.  NAKAMURA Shu (50183520)
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  • 54.  GIGA Yoshikazu (70144110)
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  • 55.  NAKANISHI Kenji (40322200)
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  • 56.  OHTA Masahito (00291394)
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  • 61.  山本 芳彦 (90028184)
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  • 62.  上木 直昌 (80211069)
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  • 63.  石井 仁司 (70102887)
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  • 64.  熊谷 隆 (90234509)
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  • 66.  村田 実 (50087079)
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  • 68.  山崎 洋一 (50252573)
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  • 69.  山根 宏之 (10230517)
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  • 70.  池部 晃生 (00025280)
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  • 72.  藤木 明 (80027383)
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  • 73.  大和 健二 (70093474)
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  • 74.  守本 晃 (50239688)
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  • 77.  高野 恭一 (10011678)
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  • 78.  小薗 英雄 (00195728)
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  • 79.  大西 和榮 (20078554)
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  • 80.  登坂 宣好 (00059776)
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