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J-GLOBAL ID：200901085656344753   Update date: Oct. 04, 2024

Oda Hiroshi

オダ ヒロシ | Oda Hiroshi
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Affiliation and department：
Takushoku University Faculty of Engineering, Department of Liberal Arts and Sciences

About Takushoku University Faculty of Engineering, Department of Liberal Arts and Sciences


Job title： Professor
Research field  (3)： Mathematical analysis ,  Basic analysis ,  Algebra
Research keywords  (3)： Representation theory of Lie groups ,  spherical function ,  Heckman-Opdam hypergeometric function
Research theme for competitive and other funds  (2)：
  • 2018 - 2021 Harmonic analysis for vector bundles on Riemannian symmetric spaces with fine fibers
  • 2006 - 2008 半単純Lie環の普遍包絡環と退化Hecke環に関連した微分方程式系の研究
Papers (13)：
  • Tatsuo HONDA, Hiroshi ODA, Nobukazu SHIMENO. Inversion formula for the hypergeometric Fourier transform associated with a root system of type $BC. Journal of the Mathematical Society of Japan, Advance Publication. 2022. -1. -1. 1-37
  • Hiroshi Oda, Nobukazu Shimeno. Spherical inversion for a small $K$-type on the split Lie group of type $G_2. Josai Mathematical Monographs. 2020. 12. 81-98
  • 織田 寛, 示野 信一. ミニスキュル $K$ タイプに対する球関数と Heckman-Opdam 超幾何関数. 2019年度表現論シンポジウム講演集. 2019. 57-86
  • 織田 寛. A vector-valued version of Kostant's separation of variables theorem. 数理解析研究所講究録. 2019. 2103. 90-108
  • Hiroshi Oda, Nobukazu Shimeno. Spherical Functions for Small $K$-Types. Geometric and Harmonic Analysis on Homogeneous Spaces. 2019. 121-168
ｍore...
Lectures and oral presentations  (16)：
  • Inversion formula for Opdam--Cherednik transform associated with a root system of type $BC$
    (2023)
  • Hypergeometric Fourier transform associated with a root system of type $BC$
    (2020)
  • ミニスキュル $K$ タイプに対する球関数と Heckman-Opdam 超幾何関数
    (2019年度表現論シンポジウム 2019)
  • minuscule $K$-type に対する球変換(1階不変微分作用素がある場合)
    (日本数学会2019年度秋季総合分科会函数解析学分科会 2019)
  • $G_2$ 型の実 split Lie 群の small $K$-type に対する球変換
    (日本数学会2019年度年会函数解析学分科会 2019)
ｍore...
Education (1)：
  • - 2000 The University of Tokyo
Professional career (1)：
  • Doctor (Mathematical Sciences) (The University of Tokyo)
Committee career (4)：
  • 2020/03 - 現在 日本数学会 函数解析学分科会委員
  • 2020/03 - 2023/02 日本数学会 分科会評議員
  • 2021/06 - 2022/05 日本数学会 解析学賞委員
  • 2016/03 - 2019/02 日本数学会 函数解析学分科会委員
Association Membership(s) (2)：
The Mathematical Society of Japan ,  Mathematical Society of Japan
※ Researcher’s information displayed in J-GLOBAL is based on the information registered in researchmap. For details, see here.

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