THE SIEGEL SERIES AND SPHERICAL FUNCTIONS ON O(2n)/(O(n) × O(n))

DOI10.1142/9789812774415_0008zbMath1228.11063OpenAlexW2335667161MaRDI QIDQ5494123

Fumihiro Sato, Yumiko Hironaka

Publication date: 17 October 2006

Published in: Automorphic Forms and Zeta Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/9789812774415_0008

zbMATH Keywords

functional equationintegral representationSiegel seriesspherical function on the symmetric space

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Analysis on (p)-adic Lie groups (22E35)

Related Items (4)

On the functional equation of the Siegel series ⋮ Harmonic analysis on the space of \(p\)-adic unitary Hermitian matrices, mainly for dyadic case ⋮ SPHERICAL FUNCTIONS ON THE SPACE OF p-ADIC UNITARY HERMITIAN MATRICES ⋮ Siegel series for skew Hermitian forms over quaternion algebras

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