SPHERICAL FUNCTIONS ON THE SPACE OF p-ADIC UNITARY HERMITIAN MATRICES
DOI10.1142/S1793042113501066zbMath1291.11091arXiv1207.6189OpenAlexW2963726300MaRDI QIDQ5408819
Yumiko Hironaka, Yasushi Komori
Publication date: 11 April 2014
Published in: International Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1207.6189
Hermitian matricesspherical functionsPlancherel formulaunitary groupsHall-Littlewood symmetric polynomials
(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)
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