Cuspidal discrete series for semisimple symmetric spaces
arXiv:1111.4031
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.
Minor corrections, to appear in J. Funct. Anal