Cuspidal discrete series for semisimple symmetric spaces

Details Cuspidal discrete series for semisimple symmetric spaces Cuspidal discrete series for semisimple symmetric spaces

2011-11-17

arxiv.org/abs/1111.4031v1

Mathematics

Representation Theory

Scientific paper

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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