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Cusp forms for reductive symmetric spaces of split rank one

Authors
  • Ban, Erik P. van den
  • Kuit, Job J.
Type
Preprint
Publication Date
Nov 18, 2015
Submission Date
Nov 18, 2015
Identifiers
arXiv ID: 1511.05793
Source
arXiv
License
Yellow
External links

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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