Abstract
In this paper we study interpolation problems for pairs of matrix functions of the extended Nevanlinna class using two different approaches, namely via the Krei˛n-Langer theory of extensions of symmetric operators and via an adaptation of Dym's method to solve interpolation problems by means of the de Branges theory of Hilbert spaces of analytic functions. We give a description of all solutions when the corresponding Pick matrix is nonnegative and has a nontrivial kernel.
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