Ilim ha’m ja’miyet Issue 3-1 (2023) · pp. 10-12
SOLUTION OF PARABOLIC RADON TRANSFORM WITH GIVEN WEIGHT FUNCTION
Djaykov, G.M.
Abstract
In this paper we consider the problem of integral geometry on a family of parabolic type with a weight function. An inversion formula for the Fourier image with respect to the first variable is obtained. A sequence of approximate solutions is constructed based on Tikhonov's regularization.
integral geometriya masalasiyagonalik teoremasiTixonov regulyarizatsiyasiturg‘un algoritmFure almashtirishiзадачи интегральной геометриитеорема единственностирегуляризация Тихоноваустойчивый алгоритмпреобразование Фурье
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