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Tensor Products of Analytic Continuations of Holomorphic Discrete Series

Published online by Cambridge University Press:  20 November 2018

Bent Ørsted  and
Genkai Zhang
Bent Ørsted
Affiliation:
Institut for Matematik og Datalogi Odense UniversitetDK-5230 Odense M Denmark
Genkai Zhang
Affiliation:
Department of Mathematics University of KarlstadS-651 88 Karlstad Sweden
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Abstract

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We give the irreducible decomposition of the tensor product of an analytic continuation of the holomorphic discrete series of SU(2, 2) with its conjugate.

Keywords

22E4543A8532M1533A65Holomorphic discrete seriestensor productspherical functionClebsch-Gordan coefficientPlancherel theorem
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 49 , Issue 6 , 01 December 1997 , pp. 1224 - 1241
Copyright
Copyright © Canadian Mathematical Society 1997

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