Geodesic
The structure of $\mathscr H_s$-optimal solutions of the inverse kinematic problem of diffraction from polycrystalline objects
Sbornik. Mathematics, Tome 48 (1984) no. 2, pp. 381-389

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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. 
@article{SM_1984_48_2_a6,
     author = {V. P. Yashnikov},
     title = {The structure of $\mathscr H_s$-optimal solutions of the inverse kinematic problem of diffraction from polycrystalline objects},
     journal = {Sbornik. Mathematics},
     pages = {381--389},
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     volume = {48},
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     year = {1984},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1984_48_2_a6/}
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V. P. Yashnikov. The structure of $\mathscr H_s$-optimal solutions of the inverse kinematic problem of diffraction from polycrystalline objects. Sbornik. Mathematics, Tome 48 (1984) no. 2, pp. 381-389. http://geodesic.mathdoc.fr/item/SM_1984_48_2_a6/