2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/114322We 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 figuresFunctional AnalysisClassical Analysis and ODEs44A12Operator identities relating sonar and Radon transforms in Euclidean spacetext