Katsuhiko Kikuchi

Katsuhiko Kikuchi



Katsuhiko Kikuchi


Primary department

Org1 Org2 Org3 Job title
Graduate School of Science Mathematics and Mathematical Sciences   Assistant Professor




Research Topics

Functional analysis, Harmonic analysis on Lie groups and on their homogeneous spaces, Unitary representations of Solvable Lie groups, Multiplicity-free actions


Overview of your research

I am interested in the harmonic analysis on solvable Lie groups and on their compact extensions. Most interest objects are Gelfand pairs and the corresponding homogeneous spaces. In order to analyze them, I study spherical representations and spherical functions. The constructions of spherical representations for Gelfand pairs and calculations of invariant differential operators for multiplicity-free actions are very useful for the investigations of them.


Fields of research (key words)

Functional Analysis