Whittaker functions of generalized principal series on \(\mathrm{SU}(2,2)\)

DOI10.1215/kjm/1250518271zbMath0910.22013OpenAlexW1499862895MaRDI QIDQ1127111

Takahiro Hayata

Publication date: 15 April 1999

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250518271

zbMATH Keywords

unitary groupsWhittaker functionsWhittaker vectorsgeneralized principal series

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Semisimple Lie groups and their representations (22E46) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (3)

MATRIX COEFFICIENTS OF REPRESENTATIONS OF SU(2,2): THE CASE OF P_J-PRINCIPAL SERIES ⋮ Matrix coefficients of the middle discrete series of \(\text{SU}(2,2)\) ⋮ Principal series Whittaker functions on \(\operatorname {Sp}(2;\mathbb{R})\). II

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