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arXiv · 1511.05793

Cusp forms for reductive symmetric spaces of split rank one

Erik P. van den Ban·Job J. Kuit
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Abstract

For reductive symmetric spaces G/H of split rank one we identify a class of minimal parabolic subgroups for which certain cuspidal integrals of Harish-Chandra - Schwartz functions are absolutely convergent. Using these integrals we introduce a notion of cusp forms and investigate its relation with representations of the discrete series for G/H.

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BibTeXRIS

Erik P. van den Ban, Job J. Kuit. 2015-11-18. Cusp forms for reductive symmetric spaces of split rank one. https://arxiv.org/abs/1511.05793

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