Generalized spectral projections on symmetric spaces of noncompact type: Paley-Wiener theorems

DOI10.1006/JFAN.1996.0009zbMath0848.43009OpenAlexW2095407838MaRDI QIDQ1908173

William O. Bray

Publication date: 21 October 1996

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1996.0009

zbMATH Keywords

Fourier transformsPaley-Wiener theoremhyperbolic spacedifferential operatorsspherical functionspherical mean operatorsymmetric space of noncompact typegeneralized spectral projections

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Analysis on other specific Lie groups (43A80) Harmonic analysis and spherical functions (43A90)

Related Items (13)

A Paley-Wiener theorem for the spectral projection of symmetric graphs ⋮ Cowling-Price theorem and characterization of heat kernel on symmetric spaces ⋮ On theorems of Hardy, Gelfand-Shilov and Beurling for semisimple groups ⋮ Pointwise Fourier inversion on rank one symmetric spaces and related topics ⋮ An analogue of the spectral projection for homogeneous trees ⋮ Image of the Schwartz space under spectral projection ⋮ The range of the spectral projection associated with the Dunkl Laplacian ⋮ Theorems of Ingham and Chernoff on Riemannian symmetric spaces of noncompact type ⋮ New inversion formulas for the horospherical transform ⋮ A spectral Paley-Wiener theorem for the Heisenberg group and a support theorem for the twisted spherical means on \(\mathbb C^n\) ⋮ Support theorems on \(\mathbb R^n\) and non-compact symmetric spaces ⋮ Hecke-Bochner identity and eigenfunctions associated to Gelfand pairs on the Heisenberg group ⋮ An uncertainty principle for spectral projections on rank one symmetric spaces of noncompact type

This page was built for publication: Generalized spectral projections on symmetric spaces of noncompact type: Paley-Wiener theorems