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Integral Geometry Problems with Incomplete Data

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We consider nonlinear problems of reconstructing multidimensional objects from incomplete data of distant measurements expressed as integral transformations. Based on the Prony system for the class of D-finite objects, we obtain constructive solutions.

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Authors and Affiliations

  1. Ben-Gurion University of the Negev, P.O.B. 653, Beer-Sheva, 84105, Israel

    D. V. Batenkov

  2. Sobolev Institute of Mathematics SB RAS, 4, Akad. Koptyuga Av., Novosibirsk, 630090, Russia

    V. P. Golubyatnikov

  3. Weizmann Institute of Sciences, 234 Herzl St., Rehovot, 7610001, Israel

    Y. N. Yomdin

Authors
  1. D. V. Batenkov
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  2. V. P. Golubyatnikov
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  3. Y. N. Yomdin
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Correspondence to Y. N. Yomdin.

Additional information

Translated from Vestnik Novosibirskogo Gosudarstvennogo Universiteta: Seriya Matematika, Mekhanika, Informatika 12, No. 3, 2012, pp. 46–60.

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Batenkov, D.V., Golubyatnikov, V.P. & Yomdin, Y.N. Integral Geometry Problems with Incomplete Data. J Math Sci 202, 25–39 (2014). https://doi.org/10.1007/s10958-014-2031-8

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