# Spherical distribution vectors

A.G. Helminck, A.G. Helminck, G.F. Helminck

Research output: Book/ReportReportProfessional

4 Citations (Scopus)

## Abstract

In this paper we consider a locally compact second countable unimodular group $G$ and a closed unimodular subgroup $H$. Let $\rho$ be a finite dimensional unitary representation of $H$ with closed image. For the unitary representation of $G$ obtained by inducing $\rho$ from $H$ to $G$ a decomposition in Hilbert subspaces of a certain space of distributions is given. It is shown that the representations relevant for this decomposition are determined by so-called $(\rho,H)$ spherical distributions, which leads to a description of the decomposition on the level of these distributions.
Original language Undefined Enschede University of Twente, Department of Applied Mathematics 21 Published - 2002

### Publication series

Name Memorandum Faculty Mathematical Sciences Department of Applied Mathematics, University of Twente 1644 0169-2690

## Keywords

• METIS-208642
• IR-65830
• EWI-3464
• MSC-20G15
• MSC-20G20
• MSC-22E15
• MSC-22E46