Spherical Means in Odd Dimensions and EPD equations

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dc.creatorRubin, Boris
dc.date2007-11-13
dc.date.accessioned2026-07-07T08:42:33Z
dc.date.available2026-07-07T08:42:33Z
dc.descriptionThe paper contains a simple proof of the Finch-Patch-Rakesh inversion formula for the spherical mean Radon transform in odd dimensions. This transform arises in thermoacoustic tomography. Applications are given to the Cauchy problem for the Euler-Poisson-Darboux equation with initial data on the cylindrical surface. The argument relies on the idea of analytic continuation and known properties of Erdelyi-Kober fractional integrals.
dc.identifierhttps://arxiv.org/abs/0711.1897
dc.identifierhttp://arxiv.org/abs/0711.1897
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142001
dc.subjectFunctional Analysis
dc.subjectAnalysis of PDEs
dc.subject44A12; 92C55; 65R32
dc.titleSpherical Means in Odd Dimensions and EPD equations
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