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

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.