KOICHI Takase 高瀬幸一

… Alternative Names

Researcher Number	60197093
Other IDs
External Links
Affiliation (Current)	2021: 宮城教育大学, 教育学部, 特任教授
Affiliation (based on the past Project Information) *help	2016 – 2020: 宮城教育大学, 教育学部, 教授 2004 – 2012: Miyagi University of Education, Dept. of Math., Professor, 教育学部, 教授 2010: Miyagi University of Education 2002 – 2004: 宮城教育大学, 教育学部, 助教授 1997 – 2000: 宮城教育大学, 教育学部, 助教授 … More
Review Section/Research Field	Principal Investigator Algebra / Algebra / 代数学・幾何学 Except Principal Investigator 解析学 / Algebra / General mathematics (including Probability theory/Statistical mathematics) / 代数学・幾何学 / Geometry / Basic analysis
Keywords	Principal Investigator 保型形式 / 保型表現 / ユニタリ表現 / 数論 / 概均質ベクトル空間 / Weil表現 / フーリエ変換 / reductive dual pair / アーベル多様体 / ヴェイユ表現 … More Except Principal Investigator 保型形式 / グラフ理論 / ファジイ理論 / 作用素環 / 接合積 / ステ-ト / 葉層多様体 / 固有値問題 / ファジィグラフ / C^*ー環 / pー円分体 / pー類群 / xー成分 / ヤコビの和 / 巾指標 / 円単数 / 葉層構造 / 横断的ベクトル場 / コーシー問題 / 局所一意性 / ファジィ多様体 / 力学系 / multiplicative system / martingale / martingale-like過程 / maximal inequality / Walsh series / 重複対数の法則 / 中心極限定理 / block wise-m-dependance列 / テータ級数 / Weil表現 / 概均質ベクトル空間 / Jacobi形式 / テータリフト / ジーゲル保型形式 / 次元公式 / 羃単表現 / 随伴サイクル / Siegel保型形式 / Koecher-Maass級数 / Jocobi形式 / 冪単表現 / L^^<エル>関数 / 球関数 / モジュラー形式 / 特殊関数 / L関数 / L-関数 / Automorphic forms / L-functions / Spherical functions / Modular forms / Special functions / 準古典近似 / Hyperasymptotics / WKB近似 / resurgent関数 / Schrodinger方程式 / semiclassical approximation / hyperasymptotics / WKB approximation / resurgent function / Schroedinger equation Less

ハイパースペシャル・コンパクト群の既約表現の研究とその応用Principal Investigator
- Principal Investigator
  
  高瀬幸一
- Project Period (FY)
  2016 – 2021
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Miyagi University of Education
Study on the spherical function of discrete series representations from the point of view of the theory of automorphic formsPrincipal Investigator
- Principal Investigator
  
  TAKASE Koichi (KOICHI Takase)
- Project Period (FY)
  2008 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Miyagi University of Education
Studies on discrete series representations and the theory of automorphic formsPrincipal Investigator
- Principal Investigator
  
  TAKASE Koichi
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Miyagi University of Education
Study on the dimension formula of automorphic forms associated with an integrable representationPrincipal Investigator
- Principal Investigator
  
  TAKASE Koichi
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Miyagi University of Education
Arithmetic studies on Abelian surfacesPrincipal Investigator
- Principal Investigator
  
  TAKASE Koichi
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Miyagi University of Education
極小表現に基づくテータ級数の一般化
- Principal Investigator
  
  SATO Fumihiro
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Algebra
- Research Institution
  Rikkyo University
Semiclassical approximations and hyperasymptotics
- Principal Investigator
  
  HURUKI Yamada
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  MIYAGI UNIVERSITY OF EDUCATION
Arithmetic of automorphic forms of many variable : reconstruction of the foundation
- Principal Investigator
  
  ODA Takayuki
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
Representation Theoretic and/or Geometric Research for Theta SeriesPrincipal Investigator
- Principal Investigator
  
  TAKASE Koichi
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Miyagi University of Education
アーベル曲面の数論的研究Principal Investigator
- Principal Investigator
  
  高瀬幸一
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Miyagi University of Education
Weil表現および関連するunitary表現の研究Principal Investigator
- Principal Investigator
  
  高瀬孝一
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Miyagi University of Education
確率論的手法を用いた弱直交系列の漸近挙動の解析
- Principal Investigator
  
  吾妻一興
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Miyagi University of Education
保型形式の数論的研究Principal Investigator
- Principal Investigator
  
  高瀬幸一
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Miyagi University of Education
保型形式の表現論的研究Principal Investigator
- Principal Investigator
  
  高瀬幸一
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Miyagi University of Education
幾何学的視点および解析学的視点よりみた葉層多様体の性質
- Principal Investigator
  
  萬伸介
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Miyagi University of Education
pー円分体のpー類群のxー成分の構造研究
- Principal Investigator
  
  白井進
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Miyagi University of Education
保型表現の研究Principal Investigator
- Principal Investigator
  
  高瀬幸一
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Miyagi University of Education
作用素環の構造研究とその応用
- Principal Investigator
  
  武元英夫
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Miyagi University of Education
有向グラフにあらわれる諸概念のファジイグラフ上への拡張に関する研究
- Principal Investigator
  
  森岡正臣
- 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
  Miyagi University of Education

All 2021 2019 2018 2017 2016 2013 2012 2011 2006 Other

All Journal Article Presentation Book

[Book] ラマヌジャン：その生涯と業績に想起された主題による十二の講義2016
- Author(s)
  G.H.Hardy (高瀬幸一訳)
- Total Pages
  384
- Publisher
  丸善出版
- Data Source
  KAKENHI-PROJECT-16K05053
[Book] p-進群の表現論2013
- Author(s)
  高瀬幸一
- Publisher
  GL2 and beyond,Web上に公開
- Data Source
  KAKENHI-PROJECT-20540005
[Book] Jordan三重系と対称領域2013
- Author(s)
  高瀬幸一
- Publisher
  Web上に公開
- Data Source
  KAKENHI-PROJECT-20540005
[Book] 群の表現論序説2013
- Author(s)
  高瀬幸一
- Total Pages
  256
- Publisher
  岩波書店
- Data Source
  KAKENHI-PROJECT-20540005
[Book] Building2013
- Author(s)
  高瀬幸一
- Publisher
  Web上に公開
- Data Source
  KAKENHI-PROJECT-20540005
[Book] 保型形式とユニタリ表現2013
- Author(s)
  高瀬幸一
- Publisher
  数学書房
- Data Source
  KAKENHI-PROJECT-20540005
[Book] 保型形式とユニタリ表現(出版予定)
- Author(s)
  高瀬幸一
- Publisher
  数学書房
- Data Source
  KAKENHI-PROJECT-20540005
[Book] 局所コンパクト群とBanach環の表現論序説(出版検討中)
- Author(s)
  高瀬幸一
- Publisher
  岩波書店編集部
- Data Source
  KAKENHI-PROJECT-20540005
[Journal Article] Regular irreducible representations of classical groups over finite quotient rings2021
- Author(s)
  Koichi Takase
- Journal Title
  
  Pacific Journal of Mathematics
  
  Volume: 311 Pages: 221-256
- DOI
  10.2140/pjm.2021.311-1
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05053
[Journal Article] On supercuspidal representations of SLn(F) associated with tamely ramified extensions2019
- Author(s)
  Takase, Koichi
- Journal Title
  
  arXiv.org (arXiv:1805.06186v2)
  
  Volume: -
- Open Access
- Data Source
  KAKENHI-PROJECT-16K05053
[Journal Article] Regular irreducible representations of classical groups over finite quotient rings2019
- Author(s)
  Takase, Koichi
- Journal Title
  
  arXiv.org (to be pubished on Pacific Journal of Mathematics)
  
  Volume: -
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-16K05053
[Journal Article] On supercuspidal representations of SLn(F) associated with tamely ramified extensions2018
- Author(s)
  Takase, Koichi
- Journal Title
  
  arXiv.org
  
  Volume: 1805 Pages: 1-25
- Open Access
- Data Source
  KAKENHI-PROJECT-16K05053
[Journal Article] Regular irreducible characters of a hyperspecial compact group2017
- Author(s)
  Koichi Takase
- Journal Title
  
  Cornel University Library
  
  Volume: -
- Data Source
  KAKENHI-PROJECT-16K05053
[Journal Article] On generic supercuspidal representations of Sp(2n)2017
- Author(s)
  Koichi Takase
- Journal Title
  
  Cornel University Library
  
  Volume: -
- Data Source
  KAKENHI-PROJECT-16K05053
[Journal Article] 分割数とは2017
- Author(s)
  高瀬　幸一
- Journal Title
  
  数学セミナー
  
  Volume: 56 Pages: 8-13
- Data Source
  KAKENHI-PROJECT-16K05053
[Journal Article] On a spherical function of a supercuspidal representation of GLn(F) and its Fourier transform2013
- Author(s)
  K.Takase
- Volume
  pre-print
- Data Source
  KAKENHI-PROJECT-20540005
[Journal Article] 重さ半整数のSiegelモジュラー形式とJacobi形式2012
- Author(s)
  高瀬幸一
- Journal Title
  
  第19回整数論サマースクール報告集
  
  Volume: (掲載確定済)(未定)
- Data Source
  KAKENHI-PROJECT-20540005
[Journal Article] 特集/数論の探求, 名著をめぐって2011
- Author(s)
  高瀬幸一
- Journal Title
  
  数理科学
  
  Volume: No.571 Pages: 54-55
- Data Source
  KAKENHI-PROJECT-20540005
[Journal Article] 特集/数論の探求,名著をめぐって2011
- Author(s)
  高瀬幸一
- Journal Title
  
  数理科学
  
  Volume: no.571 Pages: 54-55
- Data Source
  KAKENHI-PROJECT-20540005
[Journal Article] 特集/数論の探求,名著をめぐって2011
- Author(s)
  高瀬幸一
- Journal Title
  
  数理科学 no.571
  
  Pages: 54-55
- Data Source
  KAKENHI-PROJECT-20540005
[Journal Article] 謎をもって謎に答える,或いは問題の解消2011
- Author(s)
  高瀬幸一
- Journal Title
  
  現代思想
  
  Volume: vol.39 Pages: 122-129
- Data Source
  KAKENHI-PROJECT-20540005
[Journal Article] Arakawa's works on Selberg zeta functions2006
- Author(s)
  K.Takase, Tsuneo Arakawa, his works
- Journal Title
  
  Automorphic Forms and Zeta Functions
  
  Pages: 5-15
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540003
[Journal Article] Aakakawa' s works on Selberg zeta functions2006
- Author(s)
  Koichi Takase
- Journal Title
  
  Automorphic forms and zeta functions(F. Sato etal. ed.)
  
  Pages: 5-15
- Data Source
  KAKENHI-PROJECT-17540005
[Journal Article] Tsuneo Arakawa and his works : Arakawa's works on Selberg zeta functions2006
- Author(s)
  K.Takase
- Journal Title
  
  Automorphic Forms and Zeta Functions
  
  Pages: 5-15
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540003
[Journal Article] Tsuneo Arakawa and his works : Arakawa's works on Selberg zeta Functions2006
- Author(s)
  K.Takase
- Journal Title
  
  Automorphic Forms and Zeta Functions
  
  Pages: 5-15
- Data Source
  KAKENHI-PROJECT-17540005
[Presentation] On supercuspidal representations of Sp(2n) and Langlands parameters2021
- Author(s)
  Koichi Takase
- Organizer
  RIMS共同研究「保形形式，保形表現，ガロア表現とその周辺」
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05053
[Presentation] 重さ半整数のSiegelモジュラー形式とJacobi形式2011
- Author(s)
  高瀬幸一
- Organizer
  第19回整数論サマースクール「保型形式のリフティング」
- Place of Presentation
  富士箱根ランド・スコーレムプラザホテル
- Data Source
  KAKENHI-PROJECT-20540005
[Presentation] 重さ半整数のSiegelモジュラー形式とJacobi形式2011
- Author(s)
  高瀬幸一
- Organizer
  第19回整数論サマースクール
- Place of Presentation
  富士箱根ランドスコルプラザホテル(招待講演)
- Year and Date
  2011-09-06
- Data Source
  KAKENHI-PROJECT-20540005

1. SHIRAI Susumu (30115175)

# of Collaborated Projects: 11 results

# of Collaborated Products: 0 results
2. TAKEMOTO Hideo (00004408)

# of Collaborated Projects: 11 results

# of Collaborated Products: 0 results
3. URIU Hitoshi (10139511)

# of Collaborated Projects: 8 results

# of Collaborated Products: 0 results
4. 森岡正臣 (10174400)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
5. 萬伸介 (40019849)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
6. ITAGAKI Yoshio (30006431)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
7. AZUMA Kazuoki (70005776)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
8. HURUKI Yamada (00092578)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
9. SATO Fumihiro (20120884)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
10. OCHIAI Hiroyuki (90214163)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
11. NISHIYAMA Kyo (70183085)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
12. 栗山義明 (20006430)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. 宇澤達 (40232813)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. ODA Takayuki (10109415)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. SAITO Hiroshi (20025464)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. IBUKIYAMA Tomoyoshi (60011722)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. ARAKAWA Tsuno (60097219)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. HIRONAKA Yumiko (10153652)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. 山崎正 (30011696)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. 菅野孝史 (30183841)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
21. 村瀬篤 (40157772)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

KOICHI Takase 高瀬 幸一

高瀬 幸一 タカセ コウイチ

TAKASE Kouichi 高瀬 幸一

高瀬 孝一 タカセ コウイチ

Research Projects

Research Products

Co-Researchers

ハイパースペシャル・コンパクト群の既約表現の研究とその応用Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study on the spherical function of discrete series representations from the point of view of the theory of automorphic formsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Studies on discrete series representations and the theory of automorphic formsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

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Research Institution

Study on the dimension formula of automorphic forms associated with an integrable representationPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

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Research Institution

Arithmetic studies on Abelian surfacesPrincipal Investigator

Principal Investigator

Project Period (FY)

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Research Field

Research Institution

Principal Investigator

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Research Field

Research Institution

Principal Investigator

Project Period (FY)

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Principal Investigator

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Representation Theoretic and/or Geometric Research for Theta SeriesPrincipal Investigator

Principal Investigator

Project Period (FY)

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Research Institution

アーベル曲面の数論的研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

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Weil表現および関連するunitary表現の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

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Research Institution

Principal Investigator

Project Period (FY)

Research Category

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Research Institution

保型形式の数論的研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

KOICHI Takase 高瀬幸一

高瀬幸一タカセコウイチ

TAKASE Kouichi 高瀬幸一

高瀬孝一タカセコウイチ