RECONSTRUCTION OF A FUNCTION FROM ITS SPHERICAL MEANS
A.H. Begmatov, G.M. Djaikov
Keywords: Problems of integral geometry, Spherical means, Fourier transforms, Inversion formula
Abstract
We study the problem of integral geometry in a strip on a family of curves of spherical type with a given weight function. We prove a uniqueness theorem and obtain an explicit expression for the Fourier transform of the solution of considered problem of integral geometry in a class of smooth finite functions.
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