# Katsuhiko Kikuchi

### Name

Katsuhiko Kikuchi

### Primary department

Org1 | Org2 | Org3 | Job title |
---|---|---|---|

Graduate School of Science | Mathematics and Mathematical Sciences | Assistant Professor |

### URL

http://www.math.kyoto-u.ac.jp/~kikuchi/

### 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