Kawazoe, Takeshi

写真a

Affiliation

Faculty of Policy Management (Mita)

Position

Professor Emeritus

Related Websites

External Links
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Career 【 Display / hide 】

  • 1982.04
    -
    1984.03

    大学助手(工学部)

  • 1982.04
    -
    1987.03

    大学助手(理工学部数理科学科)

  • 1987.04
    -
    1995.03

    大学専任講師(理工学部数理科学科)

  • 1989.04
    -
    2017.03

    日本女子大学　非常勤講師

  • 1995.04
    -
    2000.03

    大学助教授(総合政策学部)

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Academic Background 【 Display / hide 】

  • 1977.03

    Keio University, Faculty of Engineering

    University, Graduated

  • 1979.03

    Keio University, Graduate School, Division of Engineering

    Graduate School, Completed, Master's course

  • 1982.03

    Keio University, Graduate School, Division of Engineering

    Graduate School, Withdrawal after completion of doctoral course requirements, Doctoral course

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Academic Degrees 【 Display / hide 】

  • PhD, The University of Tokyo, Dissertation, 1985.01

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Research Areas 【 Display / hide 】

  • Natural Science / Mathematical analysis (Larger-area Analysis)

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Research Keywords 【 Display / hide 】

  • Harmonic Analysis

  • Lie group

  • Fourier Analysis

  • Wavelet Analysis

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Research Themes 【 Display / hide 】

  • Harmonic analysis on semisimple Lie groups, 

    1985
    -
    Present

    　View Summary

    Characterization of real Hardy spaces on semisimple Lie groups
    and their applications.

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Books 【 Display / hide 】

  • 改訂新版　解析入門

    2018.03

  • 数理と社会　身近な数学でリフレッシュ 増補第2版

    KAWAZOE TAKESHI, 数学書房, 2016.10

  • 改訂　解析入門

    KAWAZOE TAKESHI, 日本放送出版協会, 2014.03

  • 増補版　数理と社会　身近な数学でリフレッシュ

    KAWAZOE TAKESHI, 数学書房, 2012.09

  • 微分積分学講義II

    KAWAZOE TAKESHI, 数学書房, 2011.01

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Papers 【 Display / hide 】

  • Lp-boundedness of a Hausdorff operator associated with change of variables and weights

    KAWAZOE Takeshi, RADOUAN Daher, FAOUAZ Saadi

    Scientiae Mathematicae Japonicae 84 ( 3 ) 203 - 212 2021.12

    Research paper (scientific journal), Joint Work, Lead author, Accepted,  ISSN  1346-0862

  • Singular Integral Operators of Convolution Type on Jacobi Hypergroup

    Kawazoe T.

    Springer Proceedings in Mathematics and Statistics (Springer Proceedings in Mathematics and Statistics)  366   103 - 121 2021

    ISSN  21941009

    　View Summary

    We shall define a Calderón-Zygmund class CZp(Δα,β) on the Jacobi hypergroup (R+, Δα,β, ∗ ) such that, if a function g on R+ belongs to CZp(Δα,β), then the convolution operator g∗ is bounded from Lq(Δα,β) to itself for p≤ q≤ 2. Actually, we shall obtain a relation between the Lp norms of g and the Abel transform Ag and a transference principle between the Lp operator norms of g∗ and the Euclidean operator ϕ⊛, where ϕ(x)=e(2p-1)ρxAg(x). Therefore, to define the Calderón-Zygmund class CZp(Δα,β), we shall obtain some conditions on g under which ϕ belongs to CZ (R). Then, ϕ⊛ is bounded on Lq(R) and, by the transference principle, g∗ is bounded on Lq(Δα,β).

  • An endpoint estimate of the kunze-stein phenomenon on SU(n,m)

    Kawazoe T.

    Pacific Journal of Mathematics (Pacific Journal of Mathematics)  302 ( 2 ) 645 - 657 2019

    ISSN  00308730

    　View Summary

    © 2019 Mathematical Sciences Publishers. The endpoint estimates for the Kunze-Stein phenomenon associated with real rank one semisimple Lie groups and the Jacobi hypergroup were obtained by A. Ionescu and J. Liu respectively. Recently, a modified endpoint estimate was also proved for complex semisimple Lie groups by J. Liu and the author. Hence the original estimate seems not to be valid for general semisimple Lie groups with higher rank. We treat the case of SU(n,m) and obtain a modified estimate similarly to the complex case. The process using the Abel transform makes it clear why the original endpoint estimate might not be valid for general semisimple Lie groups.

  • Applications of an inverse Abel transform for Jacobi analysis - weak $L^1$ estimates and the Kunze-Stein phenomenon.

    KAWAZOE TAKESHI

    Tokyo J. Math. 41 ( 1 ) 77 - 112 2018.06

    Research paper (scientific journal), Single Work, Accepted

  • Applications of an inverse abel transform for jacobi analysis: Weak-l1 estimates and the kunze-Stein phenomenon

    Kawazoe T.

    Tokyo Journal of Mathematics (Tokyo Journal of Mathematics)  41 ( 1 ) 77 - 112 2018.06

    ISSN  03873870

    　View Summary

    ©2018 International Academic Printing Co. Ltd. All Rights Reserved. For the Jacobi hypergroup (R+,Δ,), the weak-L1 estimate of the Hardy-Littlewood maximal operator was obtained by W. Bloom and Z. Xu, later by J. Liu, and the endpoint estimate for the Kunze-Stein phenomenon was obtained by J. Liu. In this paper we shall give alternative proofs based on the inverse Abel transform for the Jacobi hypergroup. The point is that the Abel transform reduces the convolution to the Euclidean convolution. More generally, let T be the Hardy-Littlewood maximal operator, the Poisson maximal operator or the Littlewood- Paley g-function for the Jacobi hypergroup, which are defined by using. Then we shall give a standard shape of Tf for f ∈ L1(Δ), from which its weak-L1 estimate follows. Concerning the endpoint estimate of the Kunze-Stein phenomenon, though Liu used the explicit form of the kernel of the convolution, we shall give a proof without using the kernel form.

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Papers, etc., Registered in KOARA 【 Display / hide 】

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Reviews, Commentaries, etc. 【 Display / hide 】

  • エレガントな解答をもとむ 解答 (出題 2017年6月号)

    河添　健

    数学セミナー (日本評論社)  56 ( 6 ) 6 - 6 2017.06

    Article, review, commentary, editorial, etc. (trade magazine, newspaper, online media), Single Work

  • エレガントな解答をもとむ 解答 （出題 2016年7月号）

    河添　健

    数学セミナー (日本評論社)  55 ( 10 ) 6 - 6 2016.07

    Article, review, commentary, editorial, etc. (trade magazine, newspaper, online media), Single Work

  • エレガントな解答をもとむ 解答 （出題 2014年6月号）

    河添　健

    数学セミナー (日本評論社)  53 ( 6 ) 6 - 6 2014.06

    Article, review, commentary, editorial, etc. (trade magazine, newspaper, online media), Single Work

  • エレガントな解答をもとむ 解答 （出題 2013年11月号）

    河添　健

    数学セミナー (日本評論社)  52 ( 11 ) 6 - 6 2013.11

    Article, review, commentary, editorial, etc. (trade magazine, newspaper, online media), Single Work

  • 数セミとの出会いと別れ、そして再会

    河添　健

    数学セミナー (日本評論社)  52 ( 5 ) 8 - 11 2013.05

    Article, review, commentary, editorial, etc. (trade magazine, newspaper, online media), Single Work

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Presentations 【 Display / hide 】

  • A real Hardy space on the Jacobi hypergroup and its atom and quark decompositions

    T. Kawazoe

    10th East Asian Conference in Harmonic Analysis and its Application (Online) , 

    2023.08

  • A real Hardy space on the Jacobi hypergroup and its atom and quark decompositions

    T. Kawazoe

    Processes and heat kernels with symmetries (Anges) , 

    2023.06

  • Hausdorff operators associated with change of variables and weights

    T. Kawazoe

    9th East Asian Conference in Harmonic Analysis and its Application (Online) , 

    2022.08

  • Revisiting the real Hardy space and its atomic decomposition on the Jacobi hypergroup

    T. Kawazoe

    8h East Asian Conference in Harmonic Analysis and its Application (Online) , 

    2021.08

  • Revisiting the real Hardy space and its atomic decomposition on the Jacobi hypergroup

    T. Kawazoe

    Conference un honor of Prof. Ahmed HBA (Online) , 

    2021.06

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Research Projects of Competitive Funds, etc. 【 Display / hide 】

  • Hardy spaces and a new trend in noncommutative harmonic analysis - fusion of real analysis, representation theory, and probability theory

    2024.04
    -
    2028.03

    基盤研究(C), Principal investigator

  • A New Approach and Development to Singular Integrals in Noncommutative Harmonic Analysis - Fusion of Real Analysis and Representation Theory

    2020.04
    -
    2024.03

    MEXT,JSPS, Grant-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Principal investigator

  • 非可換調和解析における多次元特異積分論の構築ー実解析と表現論を融合した新たな手法

    2016.04
    -
    Present

    MEXT,JSPS, Grant-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Principal investigator

  • 非可換調和解析における特異積分論の新たな展開ー表現論的手法と実解析的手法の融合

    2012.04
    -
    2016.03

    No Setting

  • 非可換調和解析における特異積分作用素論-実ハーディ空間の有効性の検証

    2008.04
    -
    2012.03

    No Setting

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Works 【 Display / hide 】

  • Analysis, geometry and representations on Lie groups and homogeneous spaces in honor of Ahmed Intissar and Takeshi Kawazoe

    2016
    , 

    Other, Joint

  • SFC型ＡＯ入試の25年と今後の展開

    河添 健

    2015.12
    , 

    Other, Single

  • 慶應義塾大学SFC一般入試　情報科目導入と参考試験

    河添 健

    情報学教育フォーラム, 

    2015.10
    , 

    Single

  • AO入試の25年　湘南藤沢キャンパスの試み

    河添 健

    東京, 

    2015.05
    , 

    Other, Single

  • 未来を創る教育とは 一貫教育における現状と課題

    河添 健

    新潟, 

    2014.08
    , 

    Other, Single

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Awards 【 Display / hide 】

  • 義塾賞

    2019, 慶應義塾大学

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Courses Taught 【 Display / hide 】

  • MATHEMATICAL LITERACY FOR PROBLEM FINDING AND SOLVING

    2024

  • MATHEMATICAL ANALYSIS

    2024

  • LINEAR ALGEBRA

    2024

  • MATHEMATICAL LITERACY FOR PROBLEM FINDING AND SOLVING

    2023

  • MATHEMATICAL ANALYSIS

    2023

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Memberships in Academic Societies 【 Display / hide 】

  • Mathematical Society of Japan, 

    1977.04
    -
    Present

  • 国際数理科学協会, 

    2012.12
    -
    Present
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