SOLUTION OF PARABOLIC RADON TRANSFORM WITH GIVEN WEIGHT FUNCTION

Djaykov, G.M.

Ilim ha’m ja’miyet · 2023-yil

Annotatsiya

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.

Maqola ma’lumotlari
MualliflarDjaykov, G.M.
JurnalIlim ha’m ja’miyet
Nashr sanasi2023-08-23
Son3-1
Betlar10-12
Tiluz_Latn

Kalit so‘zlar

integral geometriya masalasi, yagonalik teoremasi, Tixonov regulyarizatsiyasi, turg‘un algoritm, Fure almashtirishi, задачи интегральной геометрии, теорема единственности, регуляризация Тихонова, устойчивый алгоритм, преобразование Фурье, integral geometry problems, uniqueness theorem, Tikhonov regularization, stable algorithm, Fourier transform

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