Mukhiddin I. Muminov, Zarifjon Kh. Ochilov, “An inversion formula for the weighted Radon transform along family of cones”, Nanosystems: Physics, Chemistry, Mathematics, 2023, Volume 14, Issue 1,Pages <nobr>22

This article is cited in 1 paper

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

Abstract: 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.

Keywords: integral geometry problem, weighted Radon transform, inversion formula.

Received: 19.11.2022
Revised: 01.12.2022
Accepted: 02.12.2022

Language: English

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