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Spherical functions on U(2n)/ (U(n) × U(n)) and hermitian Siegel series

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Publication:4909844
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DOI10.1142/9789814355605_0006zbMath1262.11066arXiv0904.4304OpenAlexW2334181380MaRDI QIDQ4909844

Yumiko Hironaka

Publication date: 22 March 2013

Published in: Geometry and Analysis of Automorphic Forms of Several Variables (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.4304


zbMATH Keywords

spherical functionsunitary groupsHermitian Siegel series


Mathematics Subject Classification ID

(p)-adic theory, local fields (11F85) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70) (p)-adic theory (11E95)


Related Items (5)

From sum of two squares to arithmetic Siegel–Weil formulas ⋮ Higher Siegel-Weil formula for unitary groups: the non-singular terms ⋮ 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 ⋮ Kudla–Rapoport cycles and derivatives of local densities




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