Un théorème de Paley-Wiener pour la transformation de Fourier sur un espace riemannien symétrique de rang un

DOI10.1016/0022-1236(82)90081-7zbMath0526.43005OpenAlexW2029528810MaRDI QIDQ595146

Jacques Faraut

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0022-1236(82)90081-7

zbMATH Keywords

Fourier transformanalytic functionPaley-Wiener theoremGelfand pairssymmetric spacehyperbolic planesupporthorocyclesLaplace operatorssemi-simple

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Semisimple Lie groups and their representations (22E46) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Analysis on other specific Lie groups (43A80) Harmonic analysis and spherical functions (43A90)

Related Items (2)

A RESULT OF PALEY AND WIENER ON DAMEK–RICCI SPACES ⋮ The \(J\)-matrix method

Cites Work

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• Whittaker vectors and conical vectors
• The surjectivity of invariant differential operators on symmetric spaces. I
• A duality for symmetric spaces with applications to group representations
• Some Properties of the Fourier Transform on Semi-Simple Lie Groups. Part II
• Boundary Behavior of Harmonic Forms on a Rank One Symmetric Space
• ON THE EIGENFUNCTIONS OF THE BELTRAMI-LAPLACE OPERATOR ON HOMOGENEOUS SYMMETRIC SPACES OF RANK 1
• Intégrales d'entrelacement et fonctions de Whittaker

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