Range descriptions for the spherical mean Radon transform

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dc.creatorAgranovsky, M.
dc.creatorKuchment, P.
dc.creatorQuinto, E. T.
dc.date2006-06-13
dc.date2006-09-02
dc.date.accessioned2026-07-07T08:04:32Z
dc.date.available2026-07-07T08:04:32Z
dc.descriptionThe transform considered in the paper averages a function supported in a ball in $\RR^n$ over all spheres centered at the boundary of the ball. This Radon type transform arises in several contemporary applications, e.g. in thermoacoustic tomography and sonar and radar imaging. Range descriptions for such transforms are important in all these areas, for instance when dealing with incomplete data, error correction, and other issues. Four different types of complete range descriptions are provided, some of which also suggest inversion procedures. Necessity of three of these (appropriately formulated) conditions holds also in general domains, while the complete discussion of the case of general domains would require another publication.
dc.descriptionLATEX file, 55 pages, two EPS figures
dc.identifierhttps://arxiv.org/abs/math/0606314
dc.identifierhttp://arxiv.org/abs/math/0606314
dc.identifierJ. Funct. Anal. 248(2007), 344-386
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/130000
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject44A12, 92C55, 65R32
dc.titleRange descriptions for the spherical mean Radon transform
dc.typetext

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