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
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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.
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