Cusp forms for reductive symmetric spaces Of split rank one

Erik P. Van Den Ban, Job J. Kuit

Research output: Contribution to journalArticleAcademicpeer-review

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 languageEnglish
Pages (from-to)467-533
Number of pages67
JournalRepresentation Theory
Volume21
Issue number17
DOIs
Publication statusPublished - 2017

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