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Mat. Sb. (N.S.), 1983, Volume 120(162), Number 3, Pages 387–395 (Mi msb2137)  

This article is cited in 1 scientific paper (total in 1 paper)

The structure of $\mathscr H_s$-optimal solutions of the inverse kinematic problem of diffraction from polycrystalline objects

V. P. Yashnikov


Abstract: The author continues the study of the inverse kinematic problem of diffraction from polycrystalline objects in Sobolev spaces of automorphic functions on the three-dimensional rotation group. An effective intrinsic description is obtained for the orthogonal complement of the subspace of common zeros of a finite family of diffraction operators. Based on this description, a projection method is proposed for constructing an $\mathscr H_s$-optimal solution of the diffraction problem with incomplete data.
Bibliography: 7 titles.

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English version:
Mathematics of the USSR-Sbornik, 1984, 48:2, 381–389

Bibliographic databases:

UDC: 517.948.35+517.862+519.46
MSC: Primary 78A45; Secondary 22E45
Received: 05.01.1982

Citation: V. P. Yashnikov, “The structure of $\mathscr H_s$-optimal solutions of the inverse kinematic problem of diffraction from polycrystalline objects”, Mat. Sb. (N.S.), 120(162):3 (1983), 387–395; Math. USSR-Sb., 48:2 (1984), 381–389

Citation in format AMSBIB
\Bibitem{Yas83}
\by V.~P.~Yashnikov
\paper The structure of $\mathscr H_s$-optimal solutions of the inverse kinematic problem of diffraction from polycrystalline objects
\jour Mat. Sb. (N.S.)
\yr 1983
\vol 120(162)
\issue 3
\pages 387--395
\mathnet{http://mi.mathnet.ru/msb2137}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=691985}
\zmath{https://zbmath.org/?q=an:0541.65095|0518.65097}
\transl
\jour Math. USSR-Sb.
\yr 1984
\vol 48
\issue 2
\pages 381--389
\crossref{https://doi.org/10.1070/SM1984v048n02ABEH002681}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Gnesin B., Yashnikov V., “Role of Deviation of the Primary Beam From the Horizontal Plane of the Goniometer in 3-Dimensional Texture Analysis”, Ind. Lab., 53:3 (1987), 239–243  isi
  • Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics (from 1967)
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