Document Type

Article

Publication Date

3-2012

Keywords

Generalized Nevanlinna pair, Reproducing kernel, Smith normal form, Forney indices, Symmetric operator, Defect number, Self-adjoint extension, Q-function

Abstract

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.

Publication Title

Linear Algebra and its Applications

Volume

436

Issue

5

First Page

1312

Last Page

1343

DOI

http://dx.doi.org/10.1016/j.laa.2011.08.006

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.

doi:10.1016/j.laa.2011.08.006

Subjects - Topical (LCSH)

Pontryagin spaces; Polynomials; Kernel functions

Genre/Form

articles

Type

Text

Rights

Copying of this document in whole or in part is allowable only for scholarly purposes. It is understood, however, that any copying or publication of this document for commercial purposes, or for financial gain, shall not be allowed without the author’s written permission.

Language

English

Format

application/pdf

Included in

Mathematics Commons

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