On generalized Whittaker functions on Siegel’s upper half space of degree 2

DOI10.1017/S0027763000003457zbMath0724.11027MaRDI QIDQ5202252

No author found.

Publication date: 1991

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

symplectic grouptheta functioninvariant differential operatorsMaass formsreductive dual pairSiegel upper half spaceL-function with Größencharacterspinor L- function

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Theta series; Weil representation; theta correspondences (11F27)

Related Items (6)

Andrianov's \(L\)-functions associated to Siegel wave forms of degree two ⋮ Commutation relations of differential operators and Whittaker functions on \(\text{Sp}_ 2(\mathbb{R})\) ⋮ On Kaufhold's Whittaker functions ⋮ Kohnen's limit process for real-analytic Siegel modular forms ⋮ Generalized Whittaker functions on \(\text{GSp}(2, \mathbb R)\) associated with indefinite quadratic forms ⋮ Fourier expansion of Arakawa lifting. I: An explicit formula and examples of non-vanishing lifts

Cites Work

• On invariant differential operators on bounded symmetric domains of type IV
• Dirichletsche Reihe mit Funktionalgleichung in der Theorie der Modulfunktion 2. Grades
• Über die räumliche Verteilung der Punkte in Gittern mit indefiniter Metrik. (On the spatial distribution of the points in lattices with indefinite metric)
• Finite multiplicity theorems for induced representations of semisimple Lie groups and their applications to generalized Gelfand-Graev representations
• Siegel's modular forms and the arithmetic of quadratic forms
• Die Differentialgleichungen in der Theorie der Siegelschen Modulfunktionen. (The differential equations in the theory of Siegel's modular functions)
• Über Thetareihen indefiniter quadratischer Forme
• On Whittaker vectors for generalized Gelfand-Graev representations of semisimple Lie groups

This page was built for publication: On generalized Whittaker functions on Siegel’s upper half space of degree 2