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A note on interpolation in the generalized Schur class

Functional Analysis 2007-05-23 v1

Abstract

Realization theory for operator colligations on Pontryagin spaces is used to study interpolation and factorization in generalized Schur classes. Several criteria are derived which imply that a given function is almost the restriction of a generalized Schur function. The role of realization theory in coefficient problems is also discussed.

Keywords

Cite

@article{arxiv.math/0008057,
  title  = {A note on interpolation in the generalized Schur class},
  author = {D. Alpay and T. Constantinescu and A. Dijksma and J. Rovnyak},
  journal= {arXiv preprint arXiv:math/0008057},
  year   = {2007}
}

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28 pages