Cuspidal discrete series for semisimple symmetric spaces |
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| Authors: | Nils Byrial Andersen Mogens Flensted-Jensen Henrik Schlichtkrull |
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| Affiliation: | 1. Department of Mathematics, Aarhus University, Ny Munkegade 118, Building 1530, DK-8000 Aarhus C, Denmark;2. Department of Mathematical Sciences, University of Copenhagen, Universitetsparken 5, DK-2100 Copenhagen Ø, Denmark |
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| Abstract: | 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. |
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