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Abstract: We describe all solutions of the matrix Hamburger moment problem in a generalcase no conditions besides solvability are assumed. We use the fundamentalresults of A.V. Shtraus on the generalized resolvents of symmetric operators.All solutions of the truncated matrix Hamburger moment problem with an oddnumber of given moments are described in an -almost nondegenerate- case. Someconditions of solvability for the scalar truncated Hamburger moment problemwith an even number of given moments are given.



Author: Sergey M. Zagorodnyuk

Source: https://arxiv.org/







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