Harmonic analysis on a class of generalized Gel'fand pairs associated with hyperbolic spaces

zbMath0908.22014MaRDI QIDQ1267415

Kamel Mokni, Gerrit Van Dijk

Publication date: 14 March 1999

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

spherical functionsPlancherel formulahyperbolic spacesLaguerre polynomialsHeisenberg groupsirreducible unitary representationpositive definite distributionsgeneralized Gel'fand pair

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Harmonic analysis and spherical functions (43A90)

Related Items (1)

Classical theorems of probability on Gelfand pairs -- Khinchin's theorem and Cramér's theorem

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