Mukhiddin I. Muminov, Zarifjon Kh. Ochilov, “An inversion formula for the weighted Radon transform along family of cones”, Наносистемы: физика, химия, математика, 2023, том 14, выпуск 1,страницы 22

Эта публикация цитируется в 1 статье

MATHEMATICS

An inversion formula for the weighted Radon transform along family of cones

Mukhiddin I. Muminov^ab, Zarifjon Kh. Ochilov^a

^a Samarkand State University, Samarkand, Uzbekistan
^b V. I. Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, Tashkent, Uzbekistan

Аннотация: In this paper, an inversion problem for the weighted Radon transform along family of cones in threedimensional space is considered. An inversion formula for the weighted Radon transform is obtained for the case when the range is a space of infinitely smooth functions.

Ключевые слова: integral geometry problem, weighted Radon transform, inversion formula.

Поступила в редакцию: 19.11.2022
Исправленный вариант: 01.12.2022
Принята в печать: 02.12.2022

Язык публикации: английский

DOI: 10.17586/2220-8054-2023-14-1-22-27