The notion of cusp forms for a class of reductive symmetric spaces of split rank one

E van den Ban, Job Kuit, H. Schlichtkrull

Research output: Working paperAcademic

Abstract

We study a notion of cusp forms for the symmetric spaces G/H with G = SL(n,R) and H = S(GL(n-1,R) x GL(1,R)). We classify all minimal parabolic subgroups of G for which the associated cuspidal integrals are convergent and discuss the possible definitions of cusp forms. Finally, we show that the closure of the direct sum of the discrete series of representations of G/H coincides with the space of cusp forms.
Original languageEnglish
PublisherarXiv
Pages1-41
DOIs
Publication statusPublished - 6 Jun 2014

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