Pointwise Fourier inversion on rank one symmetric spaces and related topics

DOI10.1006/jfan.1997.3146zbMath0904.43006OpenAlexW1986600724MaRDI QIDQ1378479

Mark A. Pinsky, William O. Bray

Publication date: 11 February 1998

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

Full work available at URL: https://doi.org/10.1006/jfan.1997.3146

zbMATH Keywords

Riemannian manifoldsrank one symmetric spacespointwise inversion of Fourier transforms

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Harmonic analysis on homogeneous spaces (43A85) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30)

Related Items

Weighted norm inequalities for integral transforms, On a theorem of Chernoff on rank one Riemannian symmetric spaces

Cites Work

• Transformation intégrale de Weyl et théorème de Paley-Wiener associes à un opérateur différentiel singulier sur \((0,\infty)\)
• Harmonic analysis as spectral theory of Laplacians
• Generalized spectral projections on symmetric spaces of noncompact type: Paley-Wiener theorems
• Pointwise fourier inversion and related eigenfunction expansions
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