Cusp forms for reductive symmetric spaces of split rank one

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

Research output: Working paperPreprintAcademic

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
PublisherarXiv
Pages1-76
DOIs
Publication statusPublished - 18 Nov 2015

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