Principal series Whittaker functions on \(\operatorname {Sp}(2;\mathbb{R})\). II

DOI10.2748/tmj/1178224977zbMath1003.11020OpenAlexW2009479139MaRDI QIDQ1273499

Takuya Miyazaki, Takayuki Oda

Publication date: 20 January 2003

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178224977

zbMATH Keywords

principal series representationsWhittaker functionsradial partexplicit formulae

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (5)

Principal series and generalized principal series Whittaker functions with peripheral \(K\)-types on the real symplectic group of rank 2 ⋮ Spinor $L$-functions for generic cusp forms on $GSp(2)$ belonging to principal series representations ⋮ MATRIX COEFFICIENTS OF REPRESENTATIONS OF SU(2,2): THE CASE OF P_J-PRINCIPAL SERIES ⋮ Principal series Whittaker functions on \(Sp(2,\mathbb{C})\) ⋮ Unnamed Item

Cites Work

• Whittaker functions of generalized principal series on \(\mathrm{SU}(2,2)\)
• Representations of real reductive Lie groups
• On Whittaker vectors and representation theory
• An explicit integral representation of Whittaker functions on \(\text{Sp}(2;\mathbb{R})\) for the large discrete series representations
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