Spectral decompositions of some representations of Lie groups

DOI10.1007/BF01066374zbMath0704.22013WikidataQ115394463 ScholiaQ115394463MaRDI QIDQ916802

A. U. Klimyk, N. Ya. Vilenkin

Publication date: 1990

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

reducibilitydecompositionhyperbolic spacesrepresentationsrestrictionstranslation groupsmaximal parabolic subgroupquasiregular representations

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Semisimple Lie groups and their representations (22E46)

Cites Work

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• Distributions spheriques sur les espaces hyperboliques
• Analysis on real hyperbolic spaces
• Infinitesimal operators and structure of the most degenerate representations of the groups Sp( p+q) and Sp( p, q) in an Sp( p)×Sp(q) basis
• Structure and matrix elements of the degenerate series representations of U(p+q) and U(p,q) in a U(p)×U(q) basis

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