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

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

2011-03-05

arxiv.org/abs/1103.1005v4

Mathematics

Functional Analysis

33 pages

Scientific paper

We give necessary and sufficient conditions under which the reproducing
kernel of a Pontryagin space of $d \times 1$ vector polynomials is determined
by a generalized Nevanlinna pair of $d \times d$ matrix polynomials.

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