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Nanosystems: Physics, Chemistry, Mathematics, 2023, Volume 14, Issue 1, Pages 22–27
DOI: https://doi.org/10.17586/2220-8054-2023-14-1-22-27 (Mi nano1158) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

An inversion formula for the weighted Radon transform along family of cones

Mukhiddin I. Muminovab, Zarifjon Kh. Ochilova

a Samarkand State University, Samarkand, Uzbekistan
b V. I. Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, Tashkent, Uzbekistan
Full-text PDF (229 kB) Citations (1)
DOI: 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.
Keywords: integral geometry problem, weighted Radon transform, inversion formula.
Funding agency Grant number
Fundamental Science Foundation of Uzbekistan FZ-20200929224
Authors partially supported by the grant FZ-20200929224 of Fundamental Science Foundation of Uzbekistan.
Received: 19.11.2022
Revised: 01.12.2022
Accepted: 02.12.2022
Bibliographic databases:
Document Type: Article
Language: English
Citation: Mukhiddin I. Muminov, Zarifjon Kh. Ochilov, “An inversion formula for the weighted Radon transform along family of cones”, Nanosystems: Physics, Chemistry, Mathematics, 14:1 (2023), 22–27
Citation in format AMSBIB
\Bibitem{MumOch23}
\by Mukhiddin~I.~Muminov, Zarifjon~Kh.~Ochilov
\paper An inversion formula for the weighted Radon transform along family of cones
\jour Nanosystems: Physics, Chemistry, Mathematics
\yr 2023
\vol 14
\issue 1
\pages 22--27
\mathnet{http://mi.mathnet.ru/nano1158}
\crossref{https://doi.org/10.17586/2220-8054-2023-14-1-22-27}
\elib{https://elibrary.ru/item.asp?id=50315527}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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