ar X iv : m at h / 06 07 43 7 v 1 [ m at h . FA ] 1 8 Ju l 2 00 6 Operator identities relating sonar and Radon transforms in Euclidean space
نویسندگان
چکیده
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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تاریخ انتشار 2008