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Spherical functions on the space of $p$-adic unitary hermitian matrices II, the case of odd size

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Publication:5250508
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zbMath1352.11055arXiv1403.3748MaRDI QIDQ5250508

Yasushi Komori, Yumiko Hironaka

Publication date: 21 May 2015

Full work available at URL: https://arxiv.org/abs/1403.3748


zbMATH Keywords

spherical functionsPlancherel formulaunitary groupshermitian matricesHall-Littlewood polynomials


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) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52) (p)-adic theory (11E95)


Related Items (2)

Spherical functions and local densities on the space of p-adic quaternion Hermitian forms ⋮ Harmonic analysis on the space of \(p\)-adic unitary Hermitian matrices, mainly for dyadic case







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