THE PROBLEM OF DETERMINING FUNCTIONS BY SPHERICAL AVERAGE VALUE
Keywords:
Fourier transform, uniqueness theorem, strongly ill-posed problems, inversion theorem .Abstract
This article considers the general concept of weakly incorrectness. Weakly incorrectness refers to problems for which it is possible to obtain conditional stability estimates of the level type. As a result, we consider many important moments in checking the integral geometry problem. This is, firstly, the question of the uniqueness of the solution of the equation in some class of functions. Secondly, obtaining a stability estimate in solving the problem. We know that a wider class of integral geometry problems is considered to be strongly incorrect and has a conditional stability estimate with a larger value.
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