On Kaufhold's Whittaker functions

DOI10.3792/PJAA.88.103zbMath1276.11060OpenAlexW2066277078MaRDI QIDQ1931914

Shinji Niwa

Publication date: 16 January 2013

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

Full work available at URL: https://projecteuclid.org/euclid.pja/1341579088

zbMATH Keywords

theta correspondencegeneralized Whittaker functionsnon holomorphic Siegel modular form

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)

Cites Work

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• Bessel functions of matrix argument
• Dirichletsche Reihe mit Funktionalgleichung in der Theorie der Modulfunktion 2. Grades
• Confluent hypergeometric functions on tube domains
• On generalized Whittaker functions on Siegel’s upper half space of degree 2

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