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A reproducing kernel space model for -functions
Authors:Vladimir Derkach  Seppo Hassi
Institution:Department of Mathematics, Donetsk National University, Universitetskaya str. 24, 83055 Donetsk, Ukraine ; Department of Mathematics and Statistics, University of Vaasa, PL 700, 65101 Vaasa, Finland
Abstract:A new model for generalized Nevanlinna functions $Q\in\mathbf{N}_\kappa$ will be presented. It involves Bezoutians and companion operators associated with certain polynomials determined by the generalized zeros and poles of $Q$. The model is obtained by coupling two operator models and expressed by means of abstract boundary mappings and the corresponding Weyl functions.

Keywords:Generalized Nevanlinna function  symmetric operator  selfadjoint extension  Weyl function  boundary triplet  reproducing kernel Pontryagin space
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