Secondary Whittaker functions for \(P_J\)-principal series representations of \(\text{Sp}(3,\mathbb R)\)

DOI10.3792/pjaa.81.105zbMath1109.22009OpenAlexW2000321122MaRDI QIDQ815146

Takayuki Oda, Miki Hirano

Publication date: 21 February 2006

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.81.105

zbMATH Keywords

Whittaker functionsprincipal series representation

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Semisimple Lie groups and their representations (22E46) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items

Whittaker functions for \(P_J\)-principal series representations of \(\text{Sp}(3,\mathbb R)\)

Cites Work

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• Whittaker vectors and the Goodman-Wallach operators
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• Automorphic Green functions associated with the secondary spherical functions
• A definition of boundary values of solutions of partial differential equations with regular singularities
• Siegel's modular forms and Dirichlet series. Course given at the University of Maryland, 1969-1970
• On principal series Whittaker functions on \(\text{Sp}(2,\mathbb R)\)
• Spherical Functions on a Semisimple Lie Group, I
• GL(4, ℝ)-Whittaker Functions and 4 F 3 (1) Hypergeometric Series
• Confluence from Siegel–Whittaker functions to Whittaker functions on $Sp(2,\mathbb{R})$

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