Functional equations of spherical functions on \(p\)-adic homogeneous spaces

DOI10.1007/BF02942047zbMath1117.11031MaRDI QIDQ2581055

Yumiko Hironaka

Publication date: 10 January 2006

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) (p)-adic theory, local fields (11F85) Analysis on (p)-adic Lie groups (22E35) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Prehomogeneous vector spaces (11S90) Harmonic analysis and spherical functions (43A90)

Related Items (1)

SPHERICAL FUNCTIONS ON THE SPACE OF p-ADIC UNITARY HERMITIAN MATRICES

Cites Work

• Spherical functions on \(\text{Sp}_2\) as a spherical homogeneous \(\text{Sp}_2\times (\text{Sp}_1)^2\)-space
• Relative spherical functions on \(\wp\)-adic symmetric spaces (three cases)
• Local zeta functions on Hermitian forms and its application to local densities
• Spherical functions and local densities on Hermitian forms
• Whittaker-Shintani function for orthogonal groups
• Local densities of alternating forms
• Spherical Functions and Local Densities of Alternating Forms
• On distinguished representations.
• Zeta functions in several variables associated with prehomogeneous vector spaces. I: Functional equations
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