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Sibirskii Matematicheskii Zhurnal, 2001, Volume 42, Number 3, Pages 507–514 (Mi smj1439)  
This article is cited in 7 scientific papers (total in 7 papers)

A certain inversion problem for the ray transform with incomplete data

A. H. Begmatov

A. Navoi Samarkand State University
Full-text PDF (188 kB) Citations (7)
Abstract: The problem is considered of reconstructing a function in three-dimensional space from its integrals over a family of straight lines that are generators of cones, i.e. an inversion problem for the ray transform with incomplete data. This problem is connected with an auxiliary problem of analytic continuation and is strongly ill-posed. A uniqueness theorem and conditional stability estimates for a solution are obtained.
Received: 05.01.1999
English version:
Siberian Mathematical Journal, 2001, Volume 42, Issue 3, Pages 428–434
DOI: https://doi.org/10.1023/A:1010458723144
Bibliographic databases:
UDC: 517.946
Language: Russian
Citation: A. H. Begmatov, “A certain inversion problem for the ray transform with incomplete data”, Sibirsk. Mat. Zh., 42:3 (2001), 507–514; Siberian Math. J., 42:3 (2001), 428–434
Citation in format AMSBIB
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\transl
\jour Siberian Math. J.
\yr 2001
\vol 42
\issue 3
\pages 428--434
\crossref{https://doi.org/10.1023/A:1010458723144}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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