Operator identities relating sonar and Radon transforms in Euclidean space

Mathematics – Functional Analysis

Scientific paper

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20 pages, 3 figures

Scientific paper

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.

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