Cuspidal discrete series for semisimple symmetric spaces

2011/11/17 by Nils Byrial Andersen, Andersen, Nils Byrial, Mogens Flensted-Jensen +3
Mathematics · #FOS: Mathematics #Representation Theory (math.RT) #math.RT

paper · pdf · doi:10.48550/arxiv.1111.4031

Minor corrections, to appear in J. Funct. Anal

arxiv created 2012/08/07 · arxiv updated 2012/08/08

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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