Local harmonic analysis on spheres

DOI10.1016/0022-1236(88)90095-XzbMath0651.43006MaRDI QIDQ1106422

Robert S. Strichartz

Publication date: 1988

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

zbMATH Keywords

distributionsspheresspherical harmonicsanalyticityeigenfunctions of the Laplaciangrowth conditionsantipodal pointszonal functionsPaley-Wiener type

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Harmonic analysis and spherical functions (43A90)

Related Items (5)

Range description for a spherical mean transform on spaces of constant curvature ⋮ Image of the Schwartz space under spectral projection ⋮ Harmonic analysis as spectral theory of Laplacians ⋮ Fourier series on compact symmetric spaces: \(K\)-finite functions of small support ⋮ The spherical Paley-Wiener theorem on the complex Grassmann manifolds SU(𝑝+𝑞)/S(U_{𝑝}×U_{𝑞})

Cites Work

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• Pseudo-differential analysis on hyperbolic surfaces
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• A duality for symmetric spaces with applications to group representations
• A Proof of a Formula in Fourier Analysis on the Sphere
• Mean Value Properties of the Laplacian via Spectral Theory
• Hilbert and Fourier Transforms on a Sphere
• Fourier Analysis on the Sphere
• Sur les représentations unitaires des groupes de Lorentz généralisés

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