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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2012, Volume 12, Issue 3, Pages 46–60 (Mi vngu5)  
This article is cited in 1 scientific paper (total in 1 paper)

On One Class of Integral Geometry Problems with Incomplete Data

D. V. Batenkova, V. P. Golubyatnikovb, Y. N. Yomdina

a Weizmann Institute of Science, Rehovot
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
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Abstract: We consider non-linear problem of reconstruction of multidimensional objects from non-complete data of distant measurements represented in the forms of integral transformations. For the class of $D$-finite objects, with the help of the Prony system, we obtain constructive solutions to these inverse problems.
Keywords: integral transformations, moments, invisible sets, semi-algebraic domains, Prony system, $D$-finite functions.
Received: 26.01.2012
English version:
Journal of Mathematical Sciences, 2014, Volume 202, Issue 1, Pages 25–39
DOI: https://doi.org/10.1007/s10958-014-2031-8
Document Type: Article
UDC: 517.588.88
Language: Russian
Citation: D. V. Batenkov, V. P. Golubyatnikov, Y. N. Yomdin, “On One Class of Integral Geometry Problems with Incomplete Data”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 12:3 (2012), 46–60; J. Math. Sci., 202:1 (2014), 25–39
Citation in format AMSBIB
\Bibitem{BatGolIom12}
\by D.~V.~Batenkov, V.~P.~Golubyatnikov, Y.~N.~Yomdin
\paper On One Class of Integral Geometry Problems with Incomplete Data
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2012
\vol 12
\issue 3
\pages 46--60
\mathnet{http://mi.mathnet.ru/vngu5}
\transl
\jour J. Math. Sci.
\yr 2014
\vol 202
\issue 1
\pages 25--39
\crossref{https://doi.org/10.1007/s10958-014-2031-8}
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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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    		Вестник Новосибирского государственного университета. Серия: математика, механика, информатика
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