On the reproducing kernel of a Pontryagin space of vector valued polynomials

Article ID	Journal	Published Year	Pages	File Type
6416828	Linear Algebra and its Applications	2012	32 Pages	PDF

Abstract

We give necessary and sufficient conditions under which the reproducing kernel of a Pontryagin space of dÃ1 vector polynomials is determined by a generalized Nevanlinna pair of dÃd matrix polynomials.

Keywords

46E22 46C20 47A06 Pontryagin space Q-function Symmetric operator Reproducing kernel Smith normal form Self-adjoint extension Polynomials

Related Topics

Physical Sciences and Engineering Mathematics Algebra and Number Theory

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On the reproducing kernel of a Pontryagin space of vector valued polynomials

Authors

B. Äurgus, A. Dijksma,