A note on interpolation in the generalized Schur class

Details A note on interpolation in the generalized Schur class A note on interpolation in the generalized Schur class

2000-08-07

arxiv.org/abs/math/0008057v1

Mathematics

Functional Analysis

28 pages

Scientific paper

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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