A reproducing kernel space model for 𝐍_{𝜅}-functions

Proceedings of the American Mathematical Society - Tập 131 Số 12 - Trang 3795-3806
Vladimir Derkach1,2, Seppo Hassi3
1Department of Mathematics, Donetsk National University, Universitetskaya str 24, 83055 Donetsk, Ukraine
2Department of Mathematics, Western Washington University, Bellingham, Washington 98225
3Department of Mathematics and Statistics, University of Vaasa, PL 700, 65101 Vaasa, Finland

Tóm tắt

A new model for generalized Nevanlinna functions Q N κ 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 Q . The model is obtained by coupling two operator models and expressed by means of abstract boundary mappings and the corresponding Weyl functions.

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