Cuspidal discrete series for semisimple symmetric spaces
Representation Theory
2012-08-08 v2
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.
Keywords
Cite
@article{arxiv.1111.4031,
title = {Cuspidal discrete series for semisimple symmetric spaces},
author = {Nils Byrial Andersen and Mogens Flensted-Jensen and Henrik Schlichtkrull},
journal= {arXiv preprint arXiv:1111.4031},
year = {2012}
}
Comments
Minor corrections, to appear in J. Funct. Anal