Cusp forms for reductive symmetric spaces Of split rank one

Erik P. Van Den Ban; Job J. Kuit

doi:10.1090/ert/507

Cusp forms for reductive symmetric spaces Of split rank one

Erik P. Van Den Ban
, Job J. Kuit

Institut für Mathematik
Paderborn University

Research output: Contribution to journal › Article › Academic › peer-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 language	English
Pages (from-to)	467-533
Number of pages	67
Journal	Representation Theory
Volume	21
Issue number	17
DOIs	https://doi.org/10.1090/ert/507
Publication status	Published - 2017

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title = "Cusp forms for reductive symmetric spaces Of split rank one",

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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AB - 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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U2 - 10.1090/ert/507

DO - 10.1090/ert/507

M3 - Article

AN - SCOPUS:85038855044

SN - 1088-4165

VL - 21

SP - 467

EP - 533

JO - Representation Theory

JF - Representation Theory

IS - 17

ER -

Cusp forms for reductive symmetric spaces Of split rank one

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