14 citations · 55 across the 41 of their papers we have counts for
4 papers · 1 filter
Weighted norm estimates for the Semyanistyi fractional integrals and Radon transforms
Boris Rubin
Semyanistyi's fractional integrals have come to analysis from integral geometry. They take functions on to functions on hyperplanes, commute with rotations, and have a nice b…
Analytic and Group-Theoretic Aspects of the Cosine Transform
G. Ólafsson, A. Pasquale, B. Rubin
This is a brief survey of recent results by the authors devoted to one of the most important operators of integral geometry. Basic facts about the analytic family of cosine transfo…
Weighted norm inequalities for k-plane transforms
Boris Rubin
We obtain sharp inequalities for the k-plane transform, the "j-plane to k-plane" transform, and the corresponding dual transforms, acting on spaces with a radial power weight…
On the Funk-Radon-Helgason Inversion Method in Integral Geometry
Boris Rubin
The paper deals with totally geodesic Radon transforms on constant curvature spaces. We study applicability of the historically the first Funk-Radon-Helgason method of mean value o…