An explicit integral representation of Siegel-Whittaker functions on 𝑆𝑝(2,ℝ) for the large discrete series representations

DOI10.1090/conm/701/14143zbMath1440.11083arXiv1412.8330OpenAlexW2793587493MaRDI QIDQ4635406

Yasuro Gon, Takayuki Oda

Publication date: 16 April 2018

Published in: Number Theory Related to Modular Curves (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.8330

zbMATH Keywords

Siegel-Whittaker functions

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)

Cites Work

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• An explicit integral representation of Whittaker functions on \(\text{Sp}(2;\mathbb{R})\) for the large discrete series representations
• On principal series Whittaker functions on \(\text{Sp}(2,\mathbb R)\)
• Generalized Whittaker functions on 𝑆𝑈(2,2) with respect to the Siegel parabolic subgroup
• MATRIX COEFFICIENTS OF REPRESENTATIONS OF SU(2,2): THE CASE OF P_J-PRINCIPAL SERIES
• Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups
• Bessel models for GSp(4)
• Confluence from Siegel–Whittaker functions to Whittaker functions on $Sp(2,\mathbb{R})$

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