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

Department of Mathematical Sciences

6 Citations (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.

Original language	English
Journal	Journal of Functional Analysis
Volume	263
Pages (from-to)	2384-2408
Number of pages	25
ISSN	0022-1236
Publication status	Published - 15 Oct 2012

Cite this

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title = "Cuspidal discrete series for semisimple symmetric spaces",

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

SP - 2384

EP - 2408

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

ER -

Cuspidal discrete series for semisimple symmetric spaces

Abstract

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