19 citations · 21 across the 2 of their papers we have counts for
2 papers
math.CA2009★ 19 cited
Inversion of the Spherical Mean Transform with Sources on a Hyperplane
Aleksei Beltukov
The object of this study is an integral operator which averages functions in the Euclidean upper half-space over the half-spheres centered on the…
math.FA2006★ 2 cited
Operator identities relating sonar and Radon transforms in Euclidean space
Aleksei Beltukov, David Feldman
We establish new relations which connect Euclidean sonar transforms (integrals taken over spheres with centers in a hyperplane) with classical Radon transforms. The relations, stat…