Abstract interpolation problem in generalized Schur classes
Functional Analysis
2014-03-18 v1
Abstract
An indefinite variant of the abstract interpolation problem is considered. Associated to this problem is a model Pontryagin space isometric operator V. All the solutions of the problem are shown to be in a one-to-one correspondence with a subset of the set of all unitary extenions U of V. These unitary extension U of V are realized as unitary colligations with the indefinite de Branges-Rovnyak space as a state space.
Keywords
Cite
@article{arxiv.1403.4038,
title = {Abstract interpolation problem in generalized Schur classes},
author = {D. Baidiuk},
journal= {arXiv preprint arXiv:1403.4038},
year = {2014}
}
Comments
18 pages