14 citations · 55 across the 41 of their papers we have counts for
47 papers
The Inverse Problem for the Euler-Poisson-Darboux Equation and Shifted -Plane Transforms
Boris Rubin
The inverse problem for the Euler-Poisson-Darboux equation deals with reconstruction of the Cauchy data for this equation from incomplete information about its solution. In the pre…
On the Injectivity of the Shifted Funk-Radon Transform and Related Harmonic Analysis
Boris Rubin
Necessary and sufficient conditions are obtained for injectivity of the shifted Funk-Radon transform associated with -dimensional totally geodesic submanifolds of the unit spher…
On Fractional Integrals Generated by Radon Transforms over Paraboloids
Boris Rubin
We apply the Fourier transform technique and a modified version of E. Stein's interpolation theorem communicated by L. Grafakos, to obtain sharp - estimates for the Radon…
Fractional Integrals Associated with Radon Transforms
Boris Rubin
We obtain sharp norm estimates for fractional integrals generated by Radon transforms of three types in the n-dimensional real Euclidean space. The method relies on recent interpol…
A Note on the Sonar Transform and Related Radon Transforms
Boris Rubin
The sonar transform in geometric tomography maps functions on the Euclidean half-space to integrals of those functions over hemispheres centered on the boundary hyperplane. We obta…
On the Spherical Slice Transform
Boris Rubin
We study the spherical slice transform which assigns to a function on the -dimensional unit sphere the integrals of that function over cross-sections of the sphere by -dimens…