A reproducing kernel space model for 𝐍_{𝜅}-functions-Reference-Cited by-同舟云学术

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

Published:2003-03-25 Issue:12 Volume:131 Page:3795-3806
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Derkach Vladimir,Hassi Seppo

Abstract

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2003-131-12/S0002-9939-03-06946-6/S0002-9939-03-06946-6.pdf

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4. Operator models associated with Kac subclasses of generalized Nevanlinna functions;Derkach, Vladimir;Methods Funct. Anal. Topology,1999

5. Operator models associated with singular perturbations;Derkach, Vladimir;Methods Funct. Anal. Topology,2001

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