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arXiv · 1111.4031

Cuspidal discrete series for semisimple symmetric spaces

Nils Byrial Andersen·Mogens Flensted-Jensen·Henrik Schlichtkrull
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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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Nils Byrial Andersen, Mogens Flensted-Jensen, Henrik Schlichtkrull. 2011-11-17. Cuspidal discrete series for semisimple symmetric spaces. https://arxiv.org/abs/1111.4031

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