Approximation by spherical waves in \(L^p\)-spaces

DOI10.1007/BF02921656zbMath0898.44003OpenAlexW4821834MaRDI QIDQ1387661

Mark L. Agranovsky, Peter A. Kuchment, Carlos. A. Berenstein

Publication date: 1 November 1998

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02921656

zbMATH Keywords

Radon transformradial functionsRiemannian symmetric spacescomplete system of spherical waveswave and heat equations

Mathematics Subject Classification ID

Heat equation (35K05) Wave equation (35L05) Radon transform (44A12) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Harmonic analysis and spherical functions (43A90) Approximation by other special function classes (41A30)

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Cites Work

• Harmonic analysis as spectral theory of Laplacians
• Fundamentality of ridge functions
• The injectivity of the Pompeiu transform and \(L^ p\)-analogues of the Wiener-Tauberian theorem
• Injectivity sets for the Radon transform over circles and complete systems of radial functions
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