Abstract
We study a problem of integral geometry in which functions in \(2n\) variables are integrated over hyperplanes in an \(n\) -dimensional Euclidean space. We call suchan integration the generalized Radon transform. If the integrand depends only on \(n\) variables then this integration coincides withthe classical one. In a broad sense, the problem of integral geometry is to obtain informationabout the integrand from the values of a family of integrals. In the present article, we considerthe problem on finding the discontinuity surface of the integrand. We prove that there existsa unique solution of the problem and suggest the corresponding algorithm. It is possible to usethe obtained results in the theory and practice of probing.
