Operator identities relating sonar and Radon transforms in Euclidean space

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We 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.
20 pages, 3 figures

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Functional Analysis, Classical Analysis and ODEs, 44A12

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http://salesiana.dossiersoluciones.com/handle/123456789/114322

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0607437
 http://arxiv.org/abs/math/0607437

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arXiv