Whittaker functions for generalized principal series representations of \(\mathrm{GSp}(2,\mathbb{R})\)

DOI10.1016/J.JFA.2018.09.011zbMath1436.22009OpenAlexW2896568350MaRDI QIDQ1626425

Taku Ishii

Publication date: 27 November 2018

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2018.09.011

zbMATH Keywords

automorphic formsWhittaker functionsgeneralized principal seriesArchimedean zeta integrals

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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• Principal series and generalized principal series Whittaker functions with peripheral \(K\)-types on the real symplectic group of rank 2
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• Commutation relations of differential operators and Whittaker functions on \(\text{Sp}_ 2(\mathbb{R})\)
• On principal series Whittaker functions on \(\text{Sp}(2,\mathbb R)\)
• L - functions for the p-adic group GSp (4)
• Spinor $L$-functions for generic cusp forms on $GSp(2)$ belonging to principal series representations
• L-Functions for GSp(2) × GL(2): Archimedean Theory and Applications
• Entireness of the Spinor L-functions for certain generic cusp forms on GSp(2)
• Generic transfer from GSp(4) to GL(4)

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