Discrete series representations with non-tempered embedding

Bernhard Krötz; Job J. Kuit; Henrik Schlichtkrull

doi:10.1016/j.indag.2022.02.010

Discrete series representations with non-tempered embedding

Bernhard Krötz, Job J. Kuit, Henrik Schlichtkrull^*

^*Corresponding author af dette arbejde

Institut for Matematiske Fag

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

2 Citationer (Scopus)

14 Downloads (Pure)

Abstract

We give an example of a semisimple symmetric space G/H and an irreducible representation of G which has multiplicity 1 in L²(G/H) and multiplicity 2 in C^∞(G/H).

Originalsprog	Engelsk
Tidsskrift	Indagationes Mathematicae
Vol/bind	33
Udgave nummer	4
Sider (fra-til)	869-879
ISSN	0019-3577
DOI	https://doi.org/10.1016/j.indag.2022.02.010
Status	Udgivet - 2022

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Publisher Copyright:
© 2022 The Authors

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10.1016/j.indag.2022.02.010Licens: CC BY

FulltextForlagets udgivne version, 289 KBLicens: CC BY

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Citationsformater

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title = "Discrete series representations with non-tempered embedding",

abstract = "We give an example of a semisimple symmetric space G/H and an irreducible representation of G which has multiplicity 1 in L2(G/H) and multiplicity 2 in C∞(G/H).",

keywords = "Gelfand pairs, Multiplicity, Symmetric spaces",

author = "Bernhard Kr{\"o}tz and Kuit, {Job J.} and Henrik Schlichtkrull",

note = "Publisher Copyright: {\textcopyright} 2022 The Authors",

year = "2022",

doi = "10.1016/j.indag.2022.02.010",

language = "English",

volume = "33",

pages = "869--879",

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TY - JOUR

T1 - Discrete series representations with non-tempered embedding

AU - Krötz, Bernhard

AU - Kuit, Job J.

AU - Schlichtkrull, Henrik

PY - 2022

Y1 - 2022

N2 - We give an example of a semisimple symmetric space G/H and an irreducible representation of G which has multiplicity 1 in L2(G/H) and multiplicity 2 in C∞(G/H).

AB - We give an example of a semisimple symmetric space G/H and an irreducible representation of G which has multiplicity 1 in L2(G/H) and multiplicity 2 in C∞(G/H).

KW - Gelfand pairs

KW - Multiplicity

KW - Symmetric spaces

UR - http://www.scopus.com/inward/record.url?scp=85126571066&partnerID=8YFLogxK

U2 - 10.1016/j.indag.2022.02.010

DO - 10.1016/j.indag.2022.02.010

M3 - Journal article

AN - SCOPUS:85126571066

VL - 33

SP - 869

EP - 879

JO - Indagationes Mathematicae

JF - Indagationes Mathematicae

SN - 0019-3577

IS - 4

ER -