Translator Disclaimer
June 2019 The notion of cusp forms for a class of reductive symmetric spaces of split rank 1
Erik P. van den Ban, Job J. Kuit, Henrik Schlichtkrull
Kyoto J. Math. 59(2): 471-513 (June 2019). DOI: 10.1215/21562261-2019-0015

Abstract

We study a notion of cusp forms for the symmetric spaces G/H with G=SL(n,R) and H=S(GL(n1,R)×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 representations of G/H coincides with the space of cusp forms.

Citation

Download Citation

Erik P. van den Ban. Job J. Kuit. Henrik Schlichtkrull. "The notion of cusp forms for a class of reductive symmetric spaces of split rank 1." Kyoto J. Math. 59 (2) 471 - 513, June 2019. https://doi.org/10.1215/21562261-2019-0015

Information

Received: 26 January 2016; Accepted: 3 April 2017; Published: June 2019
First available in Project Euclid: 9 May 2019

zbMATH: 07080114
MathSciNet: MR3960303
Digital Object Identifier: 10.1215/21562261-2019-0015

Subjects:
Primary: 22E30
Secondary: 22E46, 43A80

Rights: Copyright © 2019 Kyoto University

JOURNAL ARTICLE
43 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.59 • No. 2 • June 2019
Back to Top