TODA Nobushige 戸田暢茂

Researcher Number	30004295
Affiliation *help	2002 : NAGOYA INST. TECH., PROFESSOR EMERITUS, 名誉教授 1995 – 2001 : 名古屋工業大学, 工学部, 教授 1994 : 工学部, 教授 1993 : 名古屋工業大学, 工学部, 教 1986 – 1992 : 名古屋工業大学, 工学部, 教授 1986 : 名古屋工業大学, 理学部, 教授
Review Section/Research Field	Principal Investigator 解析学 / Basic analysis Except Principal Investigator 解析学 / Basic analysis / 代数学・幾何学 / Geometry / General mathematics (including Probability theory/Statistical mathematics)
Keywords	Principal Investigator ネバンリンナ理論 / 正則曲線 / 代数型関数 / 値分布論 / 有理形関数 / 常微分方程式 / Nevanlinna理論 / 複素微分方程式 / entire solution / 複素領域 … More Except Principal Investigator クライン群 / 値分布理論 / 値分布論 / 理想境界 / ポテンシャル論 / デイリクレ問題 / 有理形写像 / 射影空間 / 除外値 / ポテンシャル / カオス力学系 / 一意性定理 / 解析写像 / value distribution theory / Riemann surface / Julia set / タイヒミュラー空間 / 多変数解析関数 / ジュリア集合 / unicity theorem / dynamical system for chaos / ショットキイ群 / defect / リーマン面 / meromorphic mapping / 等角写像 / 力学系 / ロイデン境界 / 調和境界 / ハーディ空間 / リーセン面 / ヒルベルト空間 / Kleinian group / 典型カルタン領域 / 構成的場の理論 / コンデンサー問題 / CWスペクトラム / 不変測度 / 多変数解析函数 / Analytic Capacity / 正則〓 / サーキュラー領域 / 積分変換 / セゲー核 / Szego kernel / ポテンシヤル論 / 有理型写像 / 解析関数 / 標準領域 / リー微分 / レヴィ測度 / Bergman kernel / CW複体 / ショットキィ群 / 測度空間 / 複素多様体 / 不定内積空間 / inverse problem / KOホモロジー / 代数的偏微分方程式 / フライン群 / 複素力学系 / 組み合せ論 / 偏微分方程式 / Bounded Analytic Functions / 動標的 / 関数空間 / 解析容量 / Integral transform / 特異積分作用素 / 有利形写像 / 代表領域 / 繰り込み変換 / 解析性 / マルチン完閉化 / 線形システム / Analytic function / 作用素 / 逆問題 / 推移確率 / 複素射影空間 / 一般化曲座標 / シュワルツ定数 / 自己等角写像 / レンズ空間 / 格子モデル / シュレディンガ-作用素 / 調和構造 / シュレ-ディンガー方程式 / Quantum field theory / reproducing kernel / リ-マン面 / 絶対連続 / 加藤族 / 円測地的部分多様体 / HL_2-minimum problem / moving target / HL_2-最小値問題 / Analytic mapping / エルゴ-ド理論 / Value Distribution Theory / 微分方程式 / ロイデン完閉化 / 補間理論 / 第二基本形式 / Partition function / 場の量子論 / function space / ドラムコホモロジー / リッチテンソル / シュワルツのレンマ / operator / linear system / リーマン多様体 / Removable Singularity / Complex manifold / リ-マン面上の不変量の変分公式 / マルチン境界 / ブルロ-空間 / 等角計量 / 伝達関数 / Teichmuller space / Lyapunov指数 / 調和測度 / ブロック・ランダウ定数 / Self-Conformal Mapping / 実超曲面 / タイヒミユラ-空間 / 再生核 / differential equ / Renormalization transform / 代数的微分方程式の代数型解 / 緩増加関数 / 多変数函数論 / Hp空間 / Abelian lattice gauge theory / 数値解析 / Conformal mapping / 安定多様体 / ピカ-ル原理 / Analytic Map / Potential theory / small function / 有界函数族 / ディリクレ積分 / ガウス写像 / ベルグマン核 / Schottky group / モーリー空間 / 正則関数 / フックス群 / ネヴァンリナ理論 / 極小曲面 / 可換格子ゲージ場 / 不変式 / ウエヴレット理論 / slant部分多様体 / 等角写像論 / ハウスドルフ次元 / interpolation / 除去可能特異性 / 分配関数 / numerical / Lattice model / Value distribution theory / Hilbert space / complex dynamical system / Hadamard積 / H_P Space / 等質実超曲面 / indefinite inner product / ポランシアル論 / Canonical domain / z-変換 / K理論 / Klein group / マジョリゼーション / 格子ゲージ場理論 / カト-族 / 加法過程 / Circular domain / 楕円曲線 Less

Research Projects
(22results)
Co-Researchers
(49People)

RESEARCH OF A SPACE OF MEROMORPHIC MAPPINGS AND DEFICIENCIES
- Principal Investigator
  
  MORI Seiki
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Yamagata University
Value distribution of meromorphic functions or holomorphic curves and its applicationsPrincipal Investigator
- Principal Investigator
  
  TODA Nobushige
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Nagoya Institute of Technology
Applications of analyticoty of functions
- Principal Investigator
  
  SAITOH Saburou
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (A).
- Research Field
  
  Basic analysis
- Research Institution
  Gunma University
RESEARCH OF VALUE DISTRIBUTION OF MEROMORPHIC MAPPINGS
- Principal Investigator
  
  MORI Seiki
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  YAMAGATA UNIVERSITY
Lattice Gauge Theories as Problems of Constructive Quantum Field Theory
- Principal Investigator
  
  YAMAMOTO Kazuhiro
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Nagoya Institute of Technology
Nevanlinna theory and its applicationsPrincipal Investigator
- Principal Investigator
  
  TODA Nobushige
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Nagoya Institute of Technology
ネバンリンナ理論とその応用Principal Investigator
- Principal Investigator
  
  戸田暢茂
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Nagoya Institute of Technology
K理論による局所化の研究
- Principal Investigator
  
  YOSIMURA Zenichi
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Nagoya Institute of Technology
理想境界の理論
- Principal Investigator
  
  中井三留
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Nagoya Institute of Technology
Research on Complex Manifolds and Complex Analysis
- Principal Investigator
  
  SATO Hiroki
- Project Period (FY)
  1995 – 1996
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  解析学
- Research Institution
  Shizuoka University
Operator theoretical study of inverse problems in linear systems
- Principal Investigator
  
  NAKAMURA Yoshihiro
- Project Period (FY)
  1995 – 1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Nagoya Institute of Technology
  Hokkaido University
理想境界の理論
- Principal Investigator
  
  中井三留
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Nagoya Institute of Technology
多次元加法過程の推移確率の滑らかさとその応用
- Principal Investigator
  
  山里眞
- 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
  Nagoya Institute of Technology
部分多様体の微分幾何学
- Principal Investigator
  
  前田定廣
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Nagoya Institute of Technology
微分可能な力学系のエルゴ-ド理論
- Principal Investigator
  
  KURATA Masahiro
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Nagoya Institute of Technology
複素多様体と複素解析の研究
- Principal Investigator
  
  SATO Hiroki
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for Co-operative Research (A)
- Research Field
  
  解析学
- Research Institution
  Shizuoka University
正則関数の研究
- Principal Investigator
  
  SAKAI Makoto
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for Co-operative Research (A)
- Research Field
  
  解析学
- Research Institution
  Tokyo Metropolitan University
ヘッセ行列式が消滅する超曲面について
- Principal Investigator
  
  山田浩
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Nagoya Institute of Technology
理想境界の理論
- Principal Investigator
  
  NAKAI Mitsuru
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Nagoya Institute of Technology
複素領域における代数的微分方程式の研究Principal Investigator
- Principal Investigator
  
  戸田暢茂
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Nagoya Institute of Technology
Research on analytic mappings on manifolds
- Principal Investigator
  
  SUITA Nobuyuki
- Project Period (FY)
  1986 – 1987
- Research Category
  
  Grant-in-Aid for Co-operative Research (A)
- Research Field
  
  解析学
- Research Institution
  Tokyo Institute of Technology
Bergman kernel function and canonical domains
- Principal Investigator
  
  MATSUURA Shozo
- Project Period (FY)
  1986 – 1987
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Nagoya Institute of Technology

1. ADACHI Toshiaki (60191855)

# of Collaborated Projects : 12results

# of Collaborated Products : 0results
2. NAKAI Mitsuru (10022550)

# of Collaborated Projects : 10results

# of Collaborated Products : 0results
3. YAMAMOTO Kazuhiro (30091515)

# of Collaborated Projects : 10results

# of Collaborated Products : 0results
4. SATO Hiroki (40022222)

# of Collaborated Projects : 5results

# of Collaborated Products : 0results
5. IWASHITA Hirokazu (30193741)

# of Collaborated Projects : 5results

# of Collaborated Products : 0results
6. KURATA Masahiro (10002164)

# of Collaborated Projects : 4results

# of Collaborated Products : 0results
7. NAKAMURA Yoshihiro (50155868)

# of Collaborated Projects : 4results

# of Collaborated Products : 0results
8. MATSUURA Shozo (20024151)

# of Collaborated Projects : 3results

# of Collaborated Products : 0results
9. FUJIMOTO Hirotaka (60023595)

# of Collaborated Projects : 3results

# of Collaborated Products : 0results
10. SAKAI Makoto (70016129)

# of Collaborated Projects : 3results

# of Collaborated Products : 0results
11. 山里眞 (00015900)

# of Collaborated Projects : 3results

# of Collaborated Products : 0results
12. 前田定廣 (40181581)

# of Collaborated Projects : 3results

# of Collaborated Products : 0results
13. 上野一男 (10193822)

# of Collaborated Projects : 3results

# of Collaborated Products : 0results
14. YOSIMURA Zenichi (70047330)

# of Collaborated Projects : 3results

# of Collaborated Products : 0results
15. OHYAMA Yoshiyuki (80223981)

# of Collaborated Projects : 3results

# of Collaborated Products : 0results
16. MORI Seiki (80004456)

# of Collaborated Projects : 3results

# of Collaborated Products : 0results
17. TANIGUCHI Masahiko (50108974)

# of Collaborated Projects : 2results

# of Collaborated Products : 0results
18. SUITA Nobuyuki (90016022)

# of Collaborated Projects : 2results

# of Collaborated Products : 0results
19. TOHGE Kazuya (30260558)

# of Collaborated Projects : 2results

# of Collaborated Products : 0results
20. NAKADA Masami (20007173)

# of Collaborated Projects : 2results

# of Collaborated Products : 0results
21. SATO Enji (80107177)

# of Collaborated Projects : 2results

# of Collaborated Products : 0results
22. KAWAMURA Shinzo (50007176)

# of Collaborated Projects : 2results

# of Collaborated Products : 0results
23. 水原昂廣 (80006577)

# of Collaborated Projects : 2results

# of Collaborated Products : 0results
24. 清水昭信 (10015547)

# of Collaborated Projects : 1results

# of Collaborated Products : 0results
25. 伊藤正之 (60022638)

# of Collaborated Projects : 1results

# of Collaborated Products : 0results
26. 藤家龍雄 (10026734)

# of Collaborated Projects : 1results

# of Collaborated Products : 0results
27. 山田浩 (20022551)

# of Collaborated Projects : 1results

# of Collaborated Products : 0results
28. 増本誠 (50173761)

# of Collaborated Projects : 1results

# of Collaborated Products : 0results
29. 山岸正和 (40270996)

# of Collaborated Projects : 1results

# of Collaborated Products : 0results
30. 佐伯明洋 (50270997)

# of Collaborated Projects : 1results

# of Collaborated Products : 0results
31. 加藤明邦 (20024226)

# of Collaborated Projects : 1results

# of Collaborated Products : 0results
32. WATANABE Hisako (70017193)

# of Collaborated Projects : 1results

# of Collaborated Products : 0results
33. IMAYOSHI Yoichi (30091656)

# of Collaborated Projects : 1results

# of Collaborated Products : 0results
34. 吉田英信 (60009280)

# of Collaborated Projects : 1results

# of Collaborated Products : 0results
35. 安藤毅 (10001679)

# of Collaborated Projects : 1results

# of Collaborated Products : 0results
36. 高橋勝利 (60133774)

# of Collaborated Projects : 1results

# of Collaborated Products : 0results
37. 中路貴彦 (30002174)

# of Collaborated Projects : 1results

# of Collaborated Products : 0results
38. SAITOH Saburou (10110397)

# of Collaborated Projects : 1results

# of Collaborated Products : 0results
39. HAYASHI Nakao (30173016)

# of Collaborated Projects : 1results

# of Collaborated Products : 0results
40. YAMAMOTO Masahiro (50182647)

# of Collaborated Projects : 1results

# of Collaborated Products : 0results
41. SIGA Hirosige (10154189)

# of Collaborated Projects : 1results

# of Collaborated Products : 0results
42. 相川弘明 (20137889)

# of Collaborated Projects : 1results

# of Collaborated Products : 0results
43. 水田義弘 (00093815)

# of Collaborated Projects : 1results

# of Collaborated Products : 0results
44. KAZAMA Hideaki (10037252)

# of Collaborated Projects : 1results

# of Collaborated Products : 0results
45. 安達謙三 (70007764)

# of Collaborated Projects : 1results

# of Collaborated Products : 0results
46. ISHIZAKI Katsuya (60202991)

# of Collaborated Projects : 1results

# of Collaborated Products : 0results
47. AIHARA Yoshihiro (60175718)

# of Collaborated Projects : 1results

# of Collaborated Products : 0results
48. NOGUCHI Junjiro (20033920)

# of Collaborated Projects : 1results

# of Collaborated Products : 0results
49. HAYASHI Eiichi (80024173)

# of Collaborated Projects : 1results

# of Collaborated Products : 0results

TODA Nobushige 戸田 暢茂

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Value distribution of meromorphic functions or holomorphic curves and its applicationsPrincipal Investigator

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Nevanlinna theory and its applicationsPrincipal Investigator

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ネバンリンナ理論とその応用Principal Investigator

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TODA Nobushige 戸田暢茂