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