Cuspidal discrete series for semisimple symmetric spaces

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    Nils Byrial Andersen, DenmarkMogens Flensted-Jensen, Department of Mathematical Sciences, University of Copenhagen, DenmarkHenrik Schlichtkrull, Department of Mathematical Sciences, University of Copenhagen, Denmark
We propose a notion of cusp forms on semisimple symmetric spaces. We then study the real hyperbolic spaces in detail, and show that there exists both cuspidal and non-cuspidal discrete series. In particular, we show that all the spherical discrete series are non-cuspidal. (C) 2012 Elsevier Inc. All rights reserved.
Original languageEnglish
JournalJournal of Functional Analysis
Volume263
Issue number8
Pages (from-to)2384-2408
Number of pages25
ISSN0022-1236
DOIs
Publication statusPublished - 15 Oct 2012

    Research areas

  • semisimple symmetric space, hyperbolic space, discrete series, cuspidal, non-cuspidal

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