Spherical functions of Hermitian and symmetric forms. III

DOI10.2748/tmj/1178227929zbMath0674.43007OpenAlexW1973990660MaRDI QIDQ1121478

Yumiko Hironaka

Publication date: 1988

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178227929

zbMATH Keywords

functional equationspherical functionsHermitian formssymmetric matricespolesp-adic number field

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Analysis on (p)-adic Lie groups (22E35) Harmonic analysis and spherical functions (43A90) General binary quadratic forms (11E16)

Related Items (5)

Spherical functions and local densities on the space of p-adic quaternion Hermitian forms ⋮ Unitary periods, Hermitian forms and points on flag varieties ⋮ SPHERICAL FUNCTIONS ON THE SPACE OF p-ADIC UNITARY HERMITIAN MATRICES ⋮ Spherical functions on \(\text{Sp}_2\) as a spherical homogeneous \(\text{Sp}_2\times (\text{Sp}_1)^2\)-space ⋮ Local densities of alternating forms

Cites Work

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• Rationality criteria and application to the generating series of a system of equations with coefficients in a local field
• Eigenspaces of invariant differential operators on an affine symmetric space

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