English

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

Functional Analysis 2012-06-11 v4 Commutative Algebra

Abstract

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

Keywords

Cite

@article{arxiv.1103.1005,
  title  = {On the reproducing kernel of a Pontryagin space of vector valued polynomials},
  author = {Branko Ćurgus and Aad Dijksma},
  journal= {arXiv preprint arXiv:1103.1005},
  year   = {2012}
}

Comments

33 pages