Cuspidal discrete series for semisimple symmetric spaces

Nils Byrial Andersen; Mogens Flensted-Jensen; Henrik Schlichtkrull

Cuspidal discrete series for semisimple symmetric spaces

Nils Byrial Andersen, Mogens Flensted-Jensen, Henrik Schlichtkrull

Institut for Matematiske Fag

6 Citationer (Scopus)

Abstract

We propose a notion of cusp forms on semisimple symmetric spaces. We then study the real hyperbolic spaces in detail, and show that there exists both cuspidal and non-cuspidal discrete series. In particular, we show that all the spherical discrete series are non-cuspidal.

Originalsprog	Engelsk
Tidsskrift	Journal of Functional Analysis
Vol/bind	263
Sider (fra-til)	2384-2408
Antal sider	25
ISSN	0022-1236
Status	Udgivet - 15 okt. 2012

Citationsformater

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abstract = "We propose a notion of cusp forms on semisimple symmetric spaces. We then study the real hyperbolic spaces in detail, and show that there exists both cuspidal and non-cuspidal discrete series. In particular, we show that all the spherical discrete series are non-cuspidal.",

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AU - Andersen, Nils Byrial

AU - Flensted-Jensen, Mogens

AU - Schlichtkrull, Henrik

PY - 2012/10/15

Y1 - 2012/10/15

N2 - We propose a notion of cusp forms on semisimple symmetric spaces. We then study the real hyperbolic spaces in detail, and show that there exists both cuspidal and non-cuspidal discrete series. In particular, we show that all the spherical discrete series are non-cuspidal.

AB - We propose a notion of cusp forms on semisimple symmetric spaces. We then study the real hyperbolic spaces in detail, and show that there exists both cuspidal and non-cuspidal discrete series. In particular, we show that all the spherical discrete series are non-cuspidal.

M3 - Journal article

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VL - 263

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EP - 2408

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

ER -

Cuspidal discrete series for semisimple symmetric spaces

Abstract

Fingeraftryk

Citationsformater