Interpolation and approximation of quasiseparable systems: The Schur-Takagi case

D. Alpay, P. Dewilde, D. Volok

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We explore how the classical Schur-Takagi interpolation theory as developed by Chamfy, Krein and Langer and Alpay, Azizov, Dijksma, and Langer generalizes to the matrix/operator case in the context of quasiseparable representations. A surprising result is that the generic case in the classical theory is no longer generic for the matrix case; it becomes a rather rare special case. This confirms again the general statement that the non-stationary case is essentially different from the index- or time-invariant case in contrast to common opinion.

Original languageEnglish
Pages (from-to)139-156
Number of pages18
JournalCalcolo
Volume42
Issue number3-4
DOIs
StatePublished - 1 Dec 2005

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