Characterization and inversion theorems for a generalized Radon transform

Abstract

In this paper the generalized Radon transform over level hypersurfaces of CES-functions of measures supported in positive orthant is studied. A characterization of the generalized Radon transform of nonnegative measures is found. Explicit inversion formula for the generalized Radon transform of absolutely continuous measures is obtained.

arXiv comment17 pages, translation from Russian