ABSTRACT
This chapter examines some problems of reconstruction of a function from its integrals over families of linear manifolds. Uniqueness and stability theorems in the Sobolev spaces and a rather simple inversion formula for the problem of integral geometry on a family of right circular cones in an even-dimensional space are given in the second author’s articles. The chapter aims to obtain a uniqueness theorem for its solution in the class of continuous compactly supported functions and a stability estimate of logarithmic type.
