Boundary indefinite interpolation problem of Nevanlinna-Pick
In the present paper, an operator model for the boundary indefinite interpolation problem of Nevanlinna-Pick is constructed. The author states the one-to-one correspondence between the set of solutions of the above problem and the set of corresponding minimal selfadjoint extensions of the model operator. In more detail, the present paper studies the boundary indefinite problem in the class of generalized Nevanlinna matrix functions. Some analogous problems were considered in earlier papers of the author. In the case of the non-degenerate matrix of Pick, the total description of all solutions of the interpolation problem is obtained.
scientific article; zbMATH DE number 6062177