Harmonic analysis on vector bundles over \(\text{Sp}(1,n)/\text{Sp}(1)\times\text{Sp}(n)\)

zbMath0967.43005MaRDI QIDQ1594952

Angela Pasquale, Gerrit Van Dijk

Publication date: 30 January 2001

Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)

zbMATH Keywords

inversion formulaPaley-Wiener theoremharmonic analysisequivariant vector bundlesPlancherel theoremRiemannian symmetric spacesAbel transformtrace spherical functions

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Semisimple Lie groups and their representations (22E46) Harmonic analysis and spherical functions (43A90)

Related Items (6)

Berezin kernels and analysis on Makarevich spaces ⋮ Characterization of the \(L^p\) range of a generalized Poisson transform of the hyperbolic space \(B(\mathbb{H}^n)\) ⋮ A characterization of the \(L^2\)-range of the Poisson transforms on a class of vector bundles over the quaternionic hyperbolic spaces ⋮ Inversion formula for the hypergeometric Fourier transform associated with a root system of type \(BC\) ⋮ Spectral analysis for radial sections of some homogeneous vector bundles on certain noncompact Riemannian symmetric spaces ⋮ Wiener-Tauberian type theorems for radial sections of homogeneous vector bundles on certain rank one Riemannian symmetric spaces of noncompact type

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