Spherical distribution vectors

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

    Research output: Book/ReportReportProfessional

    4 Citations (Scopus)
    104 Downloads (Pure)

    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 languageUndefined
    Place of PublicationEnschede
    PublisherUniversity of Twente, Department of Applied Mathematics
    Number of pages21
    Publication statusPublished - 2002

    Publication series

    NameMemorandum Faculty Mathematical Sciences
    PublisherDepartment of Applied Mathematics, University of Twente
    No.1644
    ISSN (Print)0169-2690

    Keywords

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

    Cite this