Injectivity of the spherical means operator

DOI10.1016/S1631-073X(02)02608-0zbMath1019.44003OpenAlexW2101738453WikidataQ123121106 ScholiaQ123121106MaRDI QIDQ1565925

Alexander G. Ramm

Publication date: 27 May 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(02)02608-0

zbMATH Keywords

Fourier transforminjectivityintegral transformHelmholtz equationGreen functioninversion formulasspherical means operator

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Integral representations of solutions to PDEs (35C15) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items (1)

Mathematics of thermoacoustic tomography

Cites Work

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• On the Determination of a Function from Spherical Averages

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