Polynomials, Generalized Nevanlinna pair, Pontryagin space, Reproducing kernel, Smith normal form, Forney indices, Symmetric operator, Defect number, Self-adjoint extension, Q-function
We give necessary and sufficient conditions under which the reproducing kernel of a Pontryagin space of d×1 vector polynomials is determined by a generalized Nevanlinna pair of d×d matrix polynomials.
Linear Algebra and its Applications
Required Publisher's Statement
Published by Elsevier Inc.
This is the author's version of the paper, the publisher's version is available at the link below.
Ćurgus, Branko and Dijksma, Aad, "On the Reproducing Kernel of a Pontryagin Space of Vector Valued Polynomials" (2012). Mathematics. 64.