Operator identities relating sonar and Radon transforms in Euclidean space

Simple item page
dc.creatorBeltukov, Aleksei
dc.creatorFeldman, David
dc.date2006-07-18
dc.date.accessioned2026-07-07T07:18:30Z
dc.date.available2026-07-07T07:18:30Z
dc.descriptionWe establish new relations which connect Euclidean sonar transforms (integrals taken over spheres with centers in a hyperplane) with classical Radon transforms. The relations, stated as operator identities, allow us to reduce the inversion of sonar transforms to classical Radon inversion.
dc.description20 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/math/0607437
dc.identifierhttp://arxiv.org/abs/math/0607437
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114322
dc.subjectFunctional Analysis
dc.subjectClassical Analysis and ODEs
dc.subject44A12
dc.titleOperator identities relating sonar and Radon transforms in Euclidean space
dc.typetext

Files

Collections

arXiv