Article

An inversion formula for the Radon transform in three-dimensional space with a weight function

M. I. Muminov187914 Samarkand State University , University Boulevard, 15; and Samarkand Branch of the Institute of Mathematics named after V. I. Romanovsky at the Academy of Sciences of the Republic of Uzbekistan, University Boulevard, 15 , Samarkand , 140104 UzbekistanZ.Kh. OchilovUniversity of Economics and Pedagogy , Yasmin Street 11 , 140100 Samarkand , Uzbekistan

Journal of Inverse and Ill-Posed Problemsjournal2025en

ABI

Abstract

Abstract In this paper we consider an inversion problem for the Radon transform in three-dimensional space with a weight function of a special form. Under some natural conditions we prove invertibility for the considering problem and find an explicit formula for the inverse of the problem.

Topics

Numerical methods in inverse problems Image and Signal Denoising Methods Seismic Imaging and Inversion Techniques

Identifiers

DOI: 10.1515/jiip-2025-0001

Citations and references

Cited by 1 26 references

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