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We obtain explicit interrelations between new Dyukarev-Stieltjes matrix parameters and orthogonal matrix polynomials on a finite interval [a, b], as well as the Schur complements of the block Hankel matrices constructed through the moments of the truncated Hausdorff matrix moment (THMM) problem in the nondegenerate case. Extremal solutions of the THMM problem are described with the help of matrix...
We study the inverse spectral problem of recovering a second-order integro-differential operator with a convolution component and Robin boundary conditions from its spectrum. We prove the uniqueness theorem and that the standard spectral asymptotics is a necessary and sufficient condition for solvability of the inverse problem in an appropriate class. The proof is constructive and gives an algorithm...
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