Cusp forms for reductive symmetric spaces of split rank one

E.P. van den Ban; Job J. Kuit

doi:10.48550/arXiv.1511.05793

Cusp forms for reductive symmetric spaces of split rank one

E.P. van den Ban
, Job J. Kuit

Universitaet Paderborn

Research output: Working paper › Preprint › Academic

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.

Original language	English
Publisher	arXiv
Pages	1-76
DOIs	https://doi.org/10.48550/arXiv.1511.05793
Publication status	Published - 18 Nov 2015

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http://arxiv.org/abs/1511.05793

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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 {\textendash} 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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AB - 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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Cusp forms for reductive symmetric spaces of split rank one

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