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In this paper, we discuss the uniqueness in an integral geometry problem in astrongly convex domain. Our problem is related to the problem of finding aRiemannian metric by the distances between all pairs of the boundary points.For the proof, the problem is reduced to an inverse source problem for akinetic equation on a Riemannian manifold and then the uniqueness theorem isproved in semi-geodesic coordinates by using the tools of Fourier analysis.

Uniqueness in an Integral Geometry Problem and an Inverse Problem for the Kinetic Equation