Geodesic
An inversion formula for the weighted Radon transform along family of cones
Nanosistemy: fizika, himiâ, matematika, Tome 14 (2023) no. 1, pp. 22-27

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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
Mots-clés : inversion formula. 
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     title = {An inversion formula for the weighted {Radon} transform along family of cones},
     journal = {Nanosistemy: fizika, himi\^a, matematika},
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     url = {http://geodesic.mathdoc.fr/item/NANO_2023_14_1_a2/}
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Mukhiddin I. Muminov; Zarifjon Kh. Ochilov. An inversion formula for the weighted Radon transform along family of cones. Nanosistemy: fizika, himiâ, matematika, Tome 14 (2023) no. 1, pp. 22-27. http://geodesic.mathdoc.fr/item/NANO_2023_14_1_a2/