SEGAWA Shigeru 瀬川重男

… Alternative Names

瀬川重男セガワシゲオ

瀬川重雄セガワシゲオ

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Researcher Number	80105634
Other IDs
External Links
Affiliation (Current)	2025: 大同大学, 教養部, 教授
Affiliation (based on the past Project Information) *help	2002 – 2008: 大同工業大学, 教養部, 教授 1995 – 2001: 大同工業大学, 工学部, 教授
Review Section/Research Field	Principal Investigator 解析学 / Basic analysis / Basic analysis Except Principal Investigator Basic analysis / Basic analysis
Keywords	Principal Investigator リーマン面 / 有界正則関数 / マルチン境界 / コロナ定理 / 一意性定理 / 有理型関数 / ピカ-ル次元 / Picard principle / 補間点列 / ピカール原理 … More / meromorphic function / Martin boundary / positive harmonic function / ピカール次元 / 正値調和関数 / 点分離 / 調和次元 / interpolating sequences / bounded holomorphic functions / negligible pertubation / harmonic dimension / quasiconformal mapping / Martin Boundary / type problem for covering surfaces / 有界正則関数環 / リーマン面の型問題 / 峰集合 / グリーン関数 / 定常シュレディンガー方程式 / 放物型 / 除外摂動 / 擬等角写像 / 被覆面の型問題 / interpolating sequence / Myrberg phenomenon / polyharmonic function / unlimited covering surface / リュービルの定理 / ロイデン完閉化 / 擬カトー測度 / 本態集合 / ミルベルグ現象 / 多重調和関数 / 非有界被覆面 / point separation / bounded analytic function / unicity thoerem / Schrodinger equation / Riemann surface / 定常シュミレ-ディンガー方程式 / 定常シュレーディンガー方程式 / シュレーディンガー方程式 / 有界正則函数 / 有理型函数 / 定常シュレ-ディンガー方程式 / 正値調和函数 / 定常シュレ-ティンガー方程式 … More Except Principal Investigator 有界調和関数 / マルチン境界 / Martin boundary / 有限葉非有界被覆面 / 擬等角写像 / interpolating sequence / 補間点列 / ピカール次元 / Heins型被覆面 / 倉持境界 / Denjoy domain / Kuramochi boundary / harmonic dimension / 調和次元 / Riemann surface / リーマン面 / 極小細位相 / meromorphic function / bounded harmonic function / Royden compactification / Picard principle / 定常シュレーディンガー方程式 / 有理型関数 / ロイデン完閉化 / マルチン理想境界 / ピカール原理 / Dirichlet積分 / ミニマルマルチン境界 / 開リーマン面 / 正値調和関数 / unicity theorem for meromorphic functions / Lebesgue space with variable exponents / bounden harmonic functions / type problem for covering surfaces / capacity inequality / basic perturbation / Picard dimension / 優調和性 / 双曲性 / 有理型関数の一意性 / ルベーグ空間上の極大作用素 / 被覆面の型問題 / 容量不等式 / 基本摂動 / invariant subspace / composition operator / Hardy class / Shilov boundary / pole set / maximal ideal space / bounded analytic function / pole集合 / 同型問題 / 補間問題 / 不変部分空間 / 合成作用素 / ハーディ族 / シロフ境界 / 極集合 / 極大イデアル空間 / 有界正則関数 / caloric morphism / nonlinear second order hyperbolic equation / quasiconformal mapping / finitely sheeted unlimited covering surface / 熱方程式 / 無限葉被覆面 / ダンジョア領域 / 2階双曲型方程式 / 熱方程式の解を保つ写像 / 非線形2階双曲型方程式 / ダンジョワ領域 / Loeb's compactification / nonlinear hyperbolic equation / Dirichlet integral / covering surface / リーマン球面から原点をとり除いた面 / 極小倉持境界点 / 極小マルチン境界 / Dirichlet積分有限な調和関数 / レーブコンパクト化 / 非線形双曲型方程式 / Denjoy領域 / 被覆面 / Schrodinger operator / essential set / 主関数問題 / 擬カトー測度 / 被覆面上の調和関数 / 除外摂動 / 被覆面のマルチン境界 / シュレーディンガー作用素 / 本態集合 / quasi order / fundamental domain / properly discontinuous group / extremal length / conformal mapping / 解析接続 / 双曲的長さ / タイヒミュラー空間 / 正則写像 / アールフォース関数 / ランキンの卵 / 線形誤り訂正符号 / フェルマー曲線 / ペアノ曲線 / 代数曲線 / 擬順序 / 基本領域 / 真性不連続群 / 極値的長さ / 等角写像 / mean value property / parabolic equation / nonlinar partial equation of hyperbolic type / conformal imbedding / minimal fine topology / unlimited covering surface / harmonic function / 高階熱方程式 / modulus / 極小マルチン境界点 / 非有界被覆面 / α階放物型方程式 / 波動方程式 / 1階非線型双曲型方程式 / 縮約極値的長さ / 平均値の性質 / 放物型方程式 / 非線型双曲型方程式 / 等角的埋め込み / 調和関数 / Myrberg phenomenon / Maretin ideal boundary / Picard Dimension / リーマン面の点分離 / 有理型関数の零-1-極集合 / 擬有界調和関数 / 本質的に自己共役 / ディリクレ問題 / ブルロー空間 / リュービルの定理 / ミルベルグ現象 / 擬等角変形 / マルチン関数 / 非負値調和関数 / ミニマル倉持境界 / Dirichlet積分が有限な正値調和関数 / 濃度 / Green関数 / 調和測度 / Martin関数 / Martin境界 / 調和Hardy空間 / Dirichlet積分が有限な調和関数 / Green関数をもつ開リーマン面 Less

The study on the ideal boundary of Riemann surfaces
- Principal Investigator
  
  MASAOKA Hiroaki
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kyoto Sangyo University
Research on ideal boundaries of open Riemann surfaces
- Principal Investigator
  
  TADA Toshimasa
- Project Period (FY)
  2005 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Daido Institute of Technology
Functional Analyistic Studies On The Algebra Of Bounded Analytic Functions On A Riemann Surface
- Principal Investigator
  
  HAYASHI Mikihiro
- Project Period (FY)
  2004 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Hokkaido University
Study of boundary behavior of holomorphic functions and harmonic functionsPrincipal Investigator
- Principal Investigator
  
  SEGAWA Shigeo
- Project Period (FY)
  2004 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Daido Institute of Technology
Ideal boundary of covering surfaces
- Principal Investigator
  
  MASAOKA Hiroaki
- Project Period (FY)
  2002 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kyoto Sangyo University
Holomorphic mappings and moduli of Riemann surfaces
- Principal Investigator
  
  MASUMOTO Makoto
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Yamaguchi University
Research on ideal boundaries of open Riemann surfaces
- Principal Investigator
  
  TADA Toshimasa
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Daido Institute of Technology
Research on Martin and Kuramochi boundaries of covering surfaces
- Principal Investigator
  
  MASAOKA Hiroaki
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kyoto Sangyou University
Boundary behavior of analytic functions and harmonic functionsPrincipal Investigator
- Principal Investigator
  
  SEGAWA Shigeo
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Daido Institute of Technology
Research on ideal boundaries of open Riemann surfaces
- Principal Investigator
  
  TADA Toshimasa
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Daido Institute of Technology
Research on Martin and Kuranochi boundaries of covering surfaces
- Principal Investigator
  
  MASAOKA Hiroaki
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kyoto Sangyo University
Boundary behavior of anlytic functions and harmonic functionsPrincipal Investigator
- Principal Investigator
  
  SEGAWA Shigeo
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Daido Institute of Technology
正則函数おび調和函数の境界挙動の研究Principal Investigator
- Principal Investigator
  
  瀬川重雄
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Daido Institute of Technology
正則関数および調和関数の境界挙動の研究Principal Investigator
- Principal Investigator
  
  瀬川重男
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Daido Institute of Technology

All 2009 2008 2007 2006

All Journal Article

[Journal Article] Types of afforested surfaces2009
- Author(s)
  M. Nakai and S. Segawa
- Journal Title
  
  Kodai Mathematical Journal vol.32
  
  Pages: 109-116
- NAID
  130004687902
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540194
[Journal Article] On several classes of harmonic functions on a hyperbolic Riemann surface2008
- Author(s)
  H. Masaoka and S. Segawa
- Journal Title
  
  Proceedings of the 15th ICFIDCAA Osaka 2007 OCAMI Studies 2
  
  Pages: 289-294
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540194
[Journal Article] On several classes of harmonic functions on a hyperbolic Riemann surface2008
- Author(s)
  H. Masaoka and S. Segawa
- Journal Title
  
  Proceedings of the 15th ICFIDCAA Osaka 2007 OCAMI Studies vol.2
  
  Pages: 289-294
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540194
[Journal Article] The role of symmetry for pasting arcs in the type problems, Complex Variables and Elliptic Equations2007
- Author(s)
  M. Nakai and S. Segawa
- Journal Title
  
  Complex Variables and Elliptic Equations 52
  
  Pages: 1161-1169
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540194
[Journal Article] The role of symmetry for pasting arcs in the type problems2007
- Author(s)
  M. Nakai and S. Segawa
- Journal Title
  
  Complex Variables and Elliptic Equations vol.52
  
  Pages: 1161-1169
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540194
[Journal Article] Hyperbolic Riemann surfaces without unbounded positive harmonic functions2006
- Author(s)
  Hiroaki Masaoka, Shigeo Segawa
- Journal Title
  
  Advanced Studies Pure Math. 44
  
  Pages: 227-232
- Data Source
  KAKENHI-PROJECT-18540194
[Journal Article] Hyperbolic Riemann surfaces without unbounded positive harmonic functions2006
- Author(s)
  H. Masaoka and S. Segawa
- Journal Title
  
  Advanced Studies Pure Math vol.44
  
  Pages: 227-232
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540194

1. UEDA Hideharu (20139968)

# of Collaborated Projects: 8 results

# of Collaborated Products: 0 results
2. NARITA Junichiro (30189211)

# of Collaborated Projects: 8 results

# of Collaborated Products: 0 results
3. TADA Toshimasa (90105635)

# of Collaborated Projects: 8 results

# of Collaborated Products: 0 results
4. IMAI Hideo (00075855)

# of Collaborated Projects: 6 results

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

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
6. MASAOKA Hiroaki (30219315)

# of Collaborated Projects: 4 results

# of Collaborated Products: 4 results
7. ISHIDA Hisashi (10103714)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
8. NISHIO Masaharu (90228156)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
9. TSUJI Mikio (40065876)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
10. FUTAMURA Toshihide (90387605)

# of Collaborated Projects: 2 results

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

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
12. AOMOTO Kazuhiko (00011495)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
13. MASUMOTO Makoto (50173761)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. YAMADA Akira (60126331)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. KATO Takao (10016157)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. SHIBA Masakazu (70025469)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. YANAGIHARA Hiroshi (30200538)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. SUZUKI Noriaki (50154563)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. JIN Naondo (90206368)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. HAYASHI Mikihiro (40007828)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
21. NAKAZI Takahiko (30002174)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
22. TACHIZAWA Kazuya (80227090)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
23. NAGASAKA Yukio (50001855)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
24. IZUCHI Keiji (80120963)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
25. 河津清 (70037258)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
26. 木内功 (30271076)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

SEGAWA Shigeru 瀬川 重男

瀬川 重男 セガワ シゲオ

瀬川 重雄 セガワ シゲオ

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Boundary behavior of analytic functions and harmonic functionsPrincipal Investigator

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Boundary behavior of anlytic functions and harmonic functionsPrincipal Investigator

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正則函数おび調和函数の境界挙動の研究Principal Investigator

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正則関数および調和関数の境界挙動の研究Principal Investigator

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SEGAWA Shigeru 瀬川重男

瀬川重男セガワシゲオ

瀬川重雄セガワシゲオ