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arXiv · 1403.4038

Abstract interpolation problem in generalized Schur classes

D. Baidiuk
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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.

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D. Baidiuk. 2014-03-17. Abstract interpolation problem in generalized Schur classes. https://arxiv.org/abs/1403.4038

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