K-invariant cusp forms for reductive symmetric spaces of split rank one
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
Dokumenter
- ArticleOA-Schl
Forlagets udgivne version, 704 KB, PDF-dokument
Let G/H be a reductive symmetric space of split rank one and let K be a maximal compact subgroup of G. In a previous article the first two authors introduced a notion of cusp forms for G/H. We show that the space of cusp forms coincides with the closure of the space of K-finite generalized matrix coefficients of discrete series representations if and only if there exist no K-spherical discrete series representations. Moreover, we prove that every K-spherical discrete series representation occurs with multiplicity one in the Plancherel decomposition of G/H.
Originalsprog | Engelsk |
---|---|
Tidsskrift | Forum Mathematicum |
Vol/bind | 31 |
Udgave nummer | 2 |
Sider (fra-til) | 341-349 |
Antal sider | 8 |
ISSN | 0933-7741 |
DOI | |
Status | Udgivet - 2019 |
Antal downloads er baseret på statistik fra Google Scholar og www.ku.dk
Ingen data tilgængelig
ID: 215037284