Abstract
Using the concrete structure of the Arov-Krein resolvent matrices connected with the matricial versions of the classical interpolation problems of Schur and Carathéodory, several inverse problems are treated. In this way, former results of Gohberg and Lerer, who studied the problem of determining a positive Hermitian block Toeplitz matrix given the first block column (or the last block row) of its inverse, are extended in various directions. Moreover, a new type of inverse problems for nondegenerate Schur sequences is considered.
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