An inversion formula for the weighted Radon transform along family of cones
https://doi.org/10.17586/2220-8054-2023-14-1-22-27
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.
Supporting agencies: Authors partially supported by the grant FZ-20200929224 of Fundamental Science Foundation of Uzbekistan. Authors thank the referee for valuable comments and gratefully acknowledge.
About the Authors
M. I. Muminov
Samarkand State University; V. I. Romanovskiy Institute of
Mathematics, Uzbekistan Academy of Sciences
Uzbekistan
Uzbekistan
Mukhiddin I. Muminov,
140100, Samarkand;
100174, Tashkent.
Z. Kh. Ochilov
Samarkand State University
Uzbekistan
Uzbekistan
Zarifjon Kh. Ochilov,
140100, Samarkand.
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Review
For citations:
Muminov M.I., Ochilov Z.Kh. An inversion formula for the weighted Radon transform along family of cones. Nanosystems: Physics, Chemistry, Mathematics. 2023;14(1):22-27. https://doi.org/10.17586/2220-8054-2023-14-1-22-27
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