Kobayashi Masaharu 小林政晴

… Alternative Names

KOBAYASHI Masaharu 小林政晴

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Researcher Number	30516480
Other IDs
Affiliation (Current)	2023: 北海道大学, 理学研究院, 准教授
Affiliation (based on the past Project Information) *help	2016 – 2022: 北海道大学, 理学研究院, 准教授 2016: 北海道大学, 理学(系)研究科(研究院), 准教授 2015: 北海道大学, 大学院理学研究科, 准教授 2012 – 2014: 山形大学, 理学部, 准教授 2009: 東京理科大学, 理学部, 助教
Review Section/Research Field	Principal Investigator Basic analysis / Basic Section 12010:Basic analysis-related Except Principal Investigator Basic analysis / Mathematical analysis / Basic Section 12020:Mathematical analysis-related
Keywords	Principal Investigator モジュレーション空間 / シュレディンガー方程式 / ウィーナーアマルガム空間 / フーリエ・ルベーグ空間 / 波束変換 / 波面集合 / ウィナーアマルガム空間 / 作用関数 / 分散型方程式 / フーリエ級数 … More / 関数空間論 / ウィーナー・アマルガム空間 / 関数空間 / エアリー方程式 / 実関数論 / 短時間フーリエ変換 / 高階分散型方程式 / フーリエ係数 / HRT予想 / Gabor解析 … More Except Principal Investigator 調和解析 / 関数空間 / 擬微分作用素 / 実解析 / 特異積分 / ハーディ空間 / 関数解析 / 最大関数 / フーリエ乗子 / 双線形作用素 / 実関数論 / 直交級数 / ハーディー空間 / モデュレーション空間 / シャッテンクラス / ハウスドルフ作用素 / 重み付き関数空間 / フレーム / 時間周波数解析 / シャッテン族 / モデユレーション空間 / ラドン変換 / ペーリーの不等式 / ハンケル変換 / ウェーブレット / 変動指数ルベーグ空間 / 交換子作用素 / 重み付き評価 / 直交関数 / 最大作用素 / パラプロダクト / 多重線形作用素 / BMO / 波束変換 / Wave packet transform / Schroedinger equation / Modulation space / Wave front set / Harmonic oscillator / シュレーディンガー方程式 / 波面集合 / 変調空間 / 波動作用素 / Wave operator / 偏微分方程式 / 特異積分作用素 / 解析学 / 関数解析学 / 分数階積分作用素 / 分数冪積分作用素 / モレー空間 / フーリエマルチプライヤー / モジュレーション空間 / モリー空間 / ラデアル関数 / フーリエマルチプライヤー作用素 / 移転定理 / Lp空間 / アダムスの不等式 / 重み関数 / 関数方程式 Less

Gabor解析における諸問題の解決Principal Investigator
- Principal Investigator
  
  小林政晴
- Project Period (FY)
  2022 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Hokkaido University
調和解析における実関数論の方法とその応用
- Principal Investigator
  
  宮地晶彦
- Project Period (FY)
  2020 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Tokyo Woman's Christian University
Modulation spaces and HRT conjecturePrincipal Investigator
- Principal Investigator
  
  Kobayashi Masaharu
- Project Period (FY)
  2019 – 2021
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Hokkaido University
Harmonic Analysis by the methods of real analysis
- Principal Investigator
  
  Miyachi Akihiko
- Project Period (FY)
  2016 – 2019
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Tokyo Woman's Christian University
Modulation space and its applications to PDEsPrincipal Investigator
- Principal Investigator
  
  Kobayashi Masaharu
- Project Period (FY)
  2016 – 2018
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Basic analysis
- Research Institution
  Hokkaido University
Study of the operators on some function spaces in harmonic analysis
- Principal Investigator
  
  SATO ENJI
- Project Period (FY)
  2014 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Yamagata University
Research on Schroedinger equations by wave packet transform
- Principal Investigator
  
  Kato Keiichi
- Project Period (FY)
  2013 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Mathematical analysis
- Research Institution
  Tokyo University of Science
Partial differential equations and modulation spacesPrincipal Investigator
- Principal Investigator
  
  KOBAYASHI Masaharu
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Basic analysis
- Research Institution
  Yamagata University
Harmonic analysis by real variable methods and its applications
- Principal Investigator
  
  MIYACHI Akihiko
- Project Period (FY)
  2011 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Tokyo Woman's Christian University
Harmonic analysis by real variable methods and its applications
- Principal Investigator
  
  MIYACHI Akihiko
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Tokyo Woman's Christian University

All 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2009 Other

All Journal Article Presentation Book

[Book] ルベーグ積分要点と演習2018
- Author(s)
  相川弘明、小林政晴
- Total Pages
  256
- Publisher
  共立出版
- ISBN
  9784320113411
- Data Source
  KAKENHI-PROJECT-16K17606
[Journal Article] Operating functions on A^q_s (T)2022
- Author(s)
  M. Kobayashi, E. Sato
- Journal Title
  
  Journal of Fourier Analysis and Applications
  
  Volume: －
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03533
[Journal Article] Representation of higher-order dispersive operators via short-time Fourier transform and its application2021
- Author(s)
  Keiichi Kato, Masaharu Kobayashi, Shingo Ito, Tadashi Takahashi
- Journal Title
  
  Tohoku Mathematical Journal
  
  Volume: 73 (1) Pages: 105-118
- DOI
  10.2748/tmj.20191226
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03533, KAKENHI-PROJECT-20H01815
[Journal Article] Fourier transform and its application2020
- Author(s)
  K. Kato, M. Kobayashi, S. Ito and T. Takahashi
- Journal Title
  
  Tohoku Math. Journal
  
  Volume: 未定
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16H03943
[Journal Article] REPRESENTATION OF HIGHER-ORDER DISPERSIVE OPERATORS VIA SHORT-TIME FOURIER TRANSFORM AND ITS APPLICATION2020
- Author(s)
  K. Kato, M. Kobayashi, S. Ito and T. Takahashi
- Journal Title
  
  Tohoku Math. Journal
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03533
[Journal Article] OPERATING FUNCTIONS ON MODULATION AND WIENER AMALGAM SPACES2018
- Author(s)
  Masaharu Kobayashi and Enji Sato
- Journal Title
  
  Nagoya Mathematical Journal
  
  Volume: 未定 Pages: 72-82
- DOI
  10.1017/nmj.2017.3
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16H03943
[Journal Article] Operating functions on modulation and Wiener amalgam spaces2018
- Author(s)
  M.Kobayashi, E.Sato
- Journal Title
  
  Nagoya Math. J.
  
  Volume: 230 Pages: 72-82
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K17606
[Journal Article] Remark on characterization of wave front set by wave packet transform2017
- Author(s)
  Keiichi Kato, Masaharu Kobayashi, Shingo Ito
- Journal Title
  
  Osaka Journal of Mathematics
  
  Volume: 印刷中
- NAID
  120006312703
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-16K17606
[Journal Article] Remark on characterization of wave front set by wave packet transform2017
- Author(s)
  Keiichi Kato, Masaharu Kobayashi, and Shingo Ito
- Journal Title
  
  Osaka Journal of Mathematics
  
  Volume: 未定
- NAID
  120006312703
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16H03943
[Journal Article] Operating functions on modulation and Wiener amalgam spaces2017
- Author(s)
  Masaharu Kobayashi, Enji Sato
- Journal Title
  
  Nagoya Mathematical Journal
  
  Volume: 印刷中
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-16K17606
[Journal Article] Wave front set defined by wave packet transform and its application2015
- Author(s)
  Keiichi Kato, Masaharu Kobayashi and Shingo Ito
- Journal Title
  
  Adv. Stud. Pure Math.
  
  Volume: 64 Pages: 417-425
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400183
[Journal Article] Estimates on mudulation spaces for Schroedinger evolution operators with quadratic and sub-quadratic potentials2014
- Author(s)
  K.Kato, M.Kobayashi, S.Ito
- Journal Title
  
  Journal of functional analysis
  
  Volume: 266 Pages: 733-753
- DOI
  10.1016/j.jfa.2013.08.017
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24740092, KAKENHI-PROJECT-25400183
[Journal Article] Characterization of Wave Front Sets in Fourier-Lebesgue Spaces and Its Application2013
- Author(s)
  K.Kato, M.Kobayashi, S.Ito
- Journal Title
  
  Funkcialaj Ekvacioj
  
  Volume: 56 Issue: 1 Pages: 1-17
- DOI
  10.1619/fesi.56.1
- NAID
  130003363159
- ISSN
  0532-8721
- Language
  English
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24740092
[Journal Article] Charcterization of wave front sets in Fourier-Lebesgue spaces and its applications2013
- Author(s)
  Keiichi Kato, Masaharu Kobayashi and Shingo Ito
- Journal Title
  
  Funkcialaj Ekvacioj
  
  Volume: 56 Pages: 1-17
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400183
[Journal Article] Application of wave packet transform of Schr\"odinger equations2012
- Author(s)
  K.Kato, S.Ito, M.Kobayashi
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: B33 Pages: 29-39
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24740092
[Journal Article] Schatten p-class property of pseudo-differential operators with symbols in modulation spaces2012
- Author(s)
  Masaharu Kobayashi, Akihiko Miyachi
- Journal Title
  
  Nagoya Mathematical Journal
  
  Volume: 205 Pages: 119-148
- DOI
  10.1215/00277630-1543796
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340034
[Journal Article] REPRESENTATION OF SCHRÖDINGER OPERATOR OF A FREE PARTICLE VIA SHORT-TIME FOURIER TRANSFORM AND ITS APPLICATIONS2012
- Author(s)
  K.Kato, M.Kobayashi, S. Ito
- Journal Title
  
  Tohoku Math. J.
  
  Volume: 64 Issue: 2 Pages: 223-231
- DOI
  10.2748/tmj/1341249372
- NAID
  130005128512
- ISSN
  0040-8735, 2186-585X
- Language
  English
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24740092
[Journal Article] Remarks on Wiener amalgam space type estimates for Schr\"odinger equation2012
- Author(s)
  K.Kato, M.Kobayashi, S. Ito
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: B33 Pages: 41-48
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24740092
[Journal Article] Embedding relations between local Hardy and modulation spaces2009
- Author(s)
  M.Kobayashi, A.Miyachi, N.Tomita
- Journal Title
  
  Studia Mathematica 192
  
  Pages: 79-96
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340043
[Journal Article] Embedding relations between local Hardy and modulationspaces2009
- Author(s)
  M. Kobayashi, A. Miyachi, N. Tomita
- Journal Title
  
  Studia Mathematica 192
  
  Pages: 79-96
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340043
[Journal Article] Embedding relations between local Hardy and modulation spaces2009
- Author(s)
  M. Kobayashi, A. Miyachi, N. Tomita
- Journal Title
  
  Studia Mathematica Vol.192
  
  Pages: 79-96
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340043
[Presentation] Operating functions on A^q_s (T)2021
- Author(s)
  M. Kobayashi
- Organizer
  the 13th ISAAC Congress
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03533
[Presentation] Operating functions on A^q_s(T)2021
- Author(s)
  Masaharu Kobayashi
- Organizer
  The 13th International ISAAC Congress
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20H01815
[Presentation] Representation of higher-order dispersive operators via short-time Fourier transform and its application2019
- Author(s)
  M. Kobayashi
- Organizer
  Function Spaces and Geometric Analysis and Their Applications
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03533
[Presentation] Operating functions on A^q_s (T)2019
- Author(s)
  Masaharu Kobayashi
- Organizer
  12th International ISAAC Congress
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03943
[Presentation] Representation of higher-order dispersive operators via short-time Fourier transform and its application2019
- Author(s)
  Masaharu Kobayashi
- Organizer
  Function Spaces and Geometric Analysis and Their Applications
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03943
[Presentation] Operating functions on A^q_s (T)2019
- Author(s)
  M. Kobayashi
- Organizer
  12th International ISAAC Congress
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03533
[Presentation] Representation of Airy evolution operator via Short-time Fourier transform2017
- Author(s)
  小林政晴
- Organizer
  第９回名古屋微分方程式研究集会
- Place of Presentation
  名古屋大学(名古屋市)
- Year and Date
  2017-03-21
- Invited
- Data Source
  KAKENHI-PROJECT-16H03943
[Presentation] Representation of Airy evolution operator via short-time Fourier transform and its application2017
- Author(s)
  K. Kato, M. Kobayashi, S. Ito, and T. Takahashi
- Organizer
  Harmonic Analysis and its Applications in Tokyo 2017
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03943
[Presentation] Representation of Airy evolution operator via short-time Fourier transform and its applicatio2017
- Author(s)
  K.Kato, M.Kobayashi, S.Ito, T.Takahashi
- Organizer
  Harmonic Analysis and its Applications in Tokyo 2017
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17606
[Presentation] Representation of Airy evolution operator via Short-time Fourier transform2017
- Author(s)
  小林政晴
- Organizer
  第９回名古屋微分方程式研究集会
- Place of Presentation
  名古屋大学(愛知県・名古屋市)
- Year and Date
  2017-03-21
- Invited
- Data Source
  KAKENHI-PROJECT-16K17606
[Presentation] Operating functions on modulation and Wiener amalgam spaces2016
- Author(s)
  Masaharu Kobayashi
- Organizer
  Harmonic Analysis and its Applications in Matsumoto 2016, summer
- Place of Presentation
  信州大学(松本市)
- Year and Date
  2016-08-24
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03943
[Presentation] Operating functions on modulation and Wiener amalgam spaces2016
- Author(s)
  Masaharu Kobayashi
- Organizer
  Harmonic Analysis and its Applications in Beijing 2016
- Place of Presentation
  北京市(中華人民共和国)
- Year and Date
  2016-09-29
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17606
[Presentation] Operating functions on modulation and Wiener amalgam spaces2016
- Author(s)
  Masaharu Kobayashi
- Organizer
  Harmonic Analysis and its Applications in Matsumoto 2016, summer
- Place of Presentation
  信州大学（長野県・松本市）
- Year and Date
  2016-08-24
- Invited
- Data Source
  KAKENHI-PROJECT-16K17606
[Presentation] Modulation空間について2015
- Author(s)
  小林政晴
- Organizer
  Saga Workshop on Partial Differential Equations
- Place of Presentation
  佐賀大学
- Year and Date
  2015-03-04
- Invited
- Data Source
  KAKENHI-PROJECT-24740092
[Presentation] Modulation spaces and Schr\"odinger equations2014
- Author(s)
  M.Kobayashi
- Organizer
  2nd East Asian Conference in Harmonic Analysis and Applications
- Place of Presentation
  中華人民共和国, 牡丹江師範学院
- Year and Date
  2014-07-13
- Data Source
  KAKENHI-PROJECT-24740092
[Presentation] Inclusion relation between Lp-Sobolev and Wiener amalgam spaces2014
- Author(s)
  M.Kobayashi
- Organizer
  北京大学セミナー
- Place of Presentation
  中華人民共和国, 北京大学
- Year and Date
  2014-10-28
- Invited
- Data Source
  KAKENHI-PROJECT-24740092
[Presentation] Representation of Schr\"odinger operator of a free particle via short-time Fourier Transform2012
- Author(s)
  K.Kato, M.Kobayashi, S.Ito
- Organizer
  Harmonic Analysis and its Applications at Tokyo 2012
- Place of Presentation
  首都大学東京
- Invited
- Data Source
  KAKENHI-PROJECT-24740092
[Presentation] Representation of Schr\"odinger operator of a free particle via short-time FourierTransform2012
- Author(s)
  K.Kato, M.Kobayashi, S.Ito
- Organizer
  Fourier Analysis and Pseudo-Differential Operators
- Place of Presentation
  Aalto University
- Invited
- Data Source
  KAKENHI-PROJECT-24740092
[Presentation] 局所Hardy空間とmodulation空間の包含関係について2009
- Author(s)
  小林政晴・宮地晶彦・冨田直人
- Organizer
  日本数学会秋季総合分科会, 実関数論分科会
- Place of Presentation
  阪大学
- Year and Date
  2009-09-24
- Data Source
  KAKENHI-PROJECT-18340043
[Presentation] Representation of Schr\"odinger operator of a free particle via short-time Fourier transform
- Author(s)
  M.Kobayashi
- Organizer
  Report (2)
- Place of Presentation
  北京師範大学, 中華人民共和国, 北京市
- Invited
- Data Source
  KAKENHI-PROJECT-24740092
[Presentation] Modulation spaces and Schrodinger equations
- Author(s)
  M.Kobayashi
- Organizer
  第６回名古屋微分方程式研究集会
- Place of Presentation
  名古屋大学
- Invited
- Data Source
  KAKENHI-PROJECT-24740092
[Presentation] The inclusion relation between Sobolev and modulation spaces
- Author(s)
  M.Kobayashi
- Organizer
  Report (1)
- Place of Presentation
  北京師範大学, 中華人民共和国, 北京市
- Invited
- Data Source
  KAKENHI-PROJECT-24740092

1. FURUYA Yasuo (70234903)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
2. MIYACHI Akihiko (60107696)

# of Collaborated Projects: 4 results

# of Collaborated Products: 5 results
3. TOMITA Naohito (10437337)

# of Collaborated Projects: 4 results

# of Collaborated Products: 4 results
4. SAWANO Yoshihiro (40532635)

# of Collaborated Projects: 4 results

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

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
6. NAKAI Eiichi (60259900)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
7. TANAKA Hitoshi (70422392)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
8. TSUTSUI Yohei (40722773)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
9. KANJIN Yuichi (50091674)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
10. SATO Shuichi (20162430)

# of Collaborated Projects: 2 results

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

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
12. OKADA Masami (00152314)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
13. KOZONO Hideo (00195728)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. SHINOHARA Masahiko (70086346)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. OAKU Toshinori (60152039)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. SUGIMOTO Mitsuru (60196756)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. KIKUCHI Masato (20204836)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. Kato Keiichi (50224499)

# of Collaborated Projects: 1 results

# of Collaborated Products: 3 results
19. Ito Shingo (40548145)

# of Collaborated Projects: 1 results

# of Collaborated Products: 3 results

Kobayashi Masaharu 小林 政晴

KOBAYASHI Masaharu 小林 政晴

Research Projects

Research Products

Co-Researchers

Gabor解析における諸問題の解決Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

調和解析における実関数論の方法とその応用

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Modulation spaces and HRT conjecturePrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Harmonic Analysis by the methods of real analysis

Principal Investigator

Project Period (FY)

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Modulation space and its applications to PDEsPrincipal Investigator

Principal Investigator

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Research Category

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Research Institution

Study of the operators on some function spaces in harmonic analysis

Principal Investigator

Project Period (FY)

Research Category

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Research on Schroedinger equations by wave packet transform

Principal Investigator

Project Period (FY)

Research Category

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Research Institution

Partial differential equations and modulation spacesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Harmonic analysis by real variable methods and its applications

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Harmonic analysis by real variable methods and its applications

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Book] ルベーグ積分 要点と演習2018

Author(s)

Total Pages

Publisher

ISBN

Data Source

[Journal Article] Operating functions on A^q_s (T)2022

Author(s)

Journal Title

Data Source

[Journal Article] Representation of higher-order dispersive operators via short-time Fourier transform and its application2021

Author(s)

Journal Title

DOI

Data Source

Kobayashi Masaharu 小林政晴

KOBAYASHI Masaharu 小林政晴

[Book] ルベーグ積分要点と演習2018

[Journal Article] REPRESENTATION OF SCHRÖDINGER OPERATOR OF A FREE PARTICLE VIA SHORT-TIME FOURIER TRANSFORM AND ITS APPLICATIONS2012