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

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
@article{NANO_2023_14_1_a2,
     author = {Mukhiddin I. Muminov and Zarifjon Kh. Ochilov},
     title = {An inversion formula for the weighted {Radon} transform along family of cones},
     journal = {Nanosistemy: fizika, himi\^a, matematika},
     pages = {22--27},
     publisher = {mathdoc},
     volume = {14},
     number = {1},
     year = {2023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/NANO_2023_14_1_a2/}
}
TY  - JOUR
AU  - Mukhiddin I. Muminov
AU  - Zarifjon Kh. Ochilov
TI  - An inversion formula for the weighted Radon transform along family of cones
JO  - Nanosistemy: fizika, himiâ, matematika
PY  - 2023
SP  - 22
EP  - 27
VL  - 14
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/NANO_2023_14_1_a2/
LA  - en
ID  - NANO_2023_14_1_a2
ER  - 
%0 Journal Article
%A Mukhiddin I. Muminov
%A Zarifjon Kh. Ochilov
%T An inversion formula for the weighted Radon transform along family of cones
%J Nanosistemy: fizika, himiâ, matematika
%D 2023
%P 22-27
%V 14
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/NANO_2023_14_1_a2/
%G en
%F NANO_2023_14_1_a2
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/