Operator identities relating sonar and Radon transforms in Euclidean space

Details Operator identities relating sonar and Radon transforms in Euclidean space Operator identities relating sonar and Radon transforms in Euclidean space

2006-07-18

arxiv.org/abs/math/0607437v1

Mathematics

Functional Analysis

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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