A note on interpolation in the generalized Schur class
classification
🧮 math.FA
keywords
generalizedschurfunctioninterpolationrealizationtheoryalmostclass
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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.
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