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J-GLOBAL ID：200901019248476533   Update date: Aug. 18, 2022

Kikuchi Katsuhiko

キクチ カツヒコ | Kikuchi Katsuhiko
Affiliation and department：
Kyoto University Graduate School of Science, Division of Mathematics

About Kyoto University Graduate School of Science, Division of Mathematics


Research field  (1)： Basic analysis
Research keywords  (2)： 基礎解析学 ,  Basic Analysis
Research theme for competitive and other funds  (2)：
  • 可解Lie群とそのコンパクト拡大上の調和解析
  • Harmonic Analysis on Solvable Lie Groups and on Their Compact Extensions
Papers (9)：
  • Kikuchi Katsuhiko. Spherical representations for certain Gelfand pairs (Development of Representation Theory and its Related Fields). RIMS Kokyuroku. 2014. 1877. 50-69
  • KIKUCHI KATSUHIKO. Invariant Polynomials for Multiplicity-free Actions of Rank Four (New Viewpoints of Representation Theory and Noncommutative Harmonic Analysis). RIMS Kokyuroku Bessatsu. 2010. 20. 71-93
  • 菊地 克彦. 階数3のmultiplicity-free作用に関する不変式と不変微分作用素 (Representation Theory and Analysis on Homogeneous Spaces). 数理解析研究所講究録別冊 = RIMS Kokyuroku Bessatsu. 2008. 7. 101-120
  • Kikuchi Katsuhiko. On a classification of Gelfand pairs (Representation theory and harmonic analysis on homogeneous spaces). RIMS Kokyuroku. 2005. 1410. 9-29
  • K Kikuchi. Remarks on Gelfand pairs associated to non-type-I solvable Lie groups. JOURNAL OF FUNCTIONAL ANALYSIS. 1998. 160. 2. 437-451
ｍore...
MISC (11)：
  • 菊地 克彦. あるGelfand対の球表現. 京都大学数理解析研究所講究録. 2014. 1877. 50-69
  • 菊地 克彦. Gelfand対の分類について. 京都大学数理解析研究所講究録. 2005. 1410. 9-29
  • K Kikuchi. K-spherical representations for Gelfand pairs associated to solvable Lie groups. JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN. 1997. 49. 3. 469-486
  • Jordan triple systems and K-spherical functions on Heisenberg. Symposium on Representation Theory. 1996. 100-107
  • KIKUCHI Katsuhiko. Jordan trple systems and $K$-spherical functions on Heisenberg groups. 1996. 100-107
ｍore...
Lectures and oral presentations  (9)：
  • あるGelfand対に対する球表現
    (日本数学会秋季総合分科会(愛媛大学) 2013)
  • 階数4の半古典型multiplicity-free作用に関する不変微分作用素
    (日本数学会秋季総合分科会(東京大学) 2009)
  • ${\rm{Sp } }(n)$の可約なmultiplicity-free作用に関する不変式と不変微分作用素
    (日本数学会秋季総合分科会(東京工業大学) 2008)
  • 階数3のmultiplicity-free空間上の不変式と不変微分作用素
    (日本数学会秋季総合分科会(大阪市立大学) 2006)
  • 冪零Lie群に付随するGelfand対の分類について
    (日本数学会秋季総合分科会(北海道大学) 2004)
ｍore...
Professional career (1)：
  • Doctor of Science (Kyoto University)
Association Membership(s) (1)：
数学会
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