Weighted interpolation in Paley-Wiener spaces and finite-time controllability

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Abstract

This paper considers the solution of weighted interpolation problems in model subspaces of the Hardy space H-2 that are canonically isometric to Paley-Wiener spaces of analytic functions A new necessary and sufficient condition is given on the set of interpolation points which guarantees that a solution in H-2 can be transferred to a solution in a model space. The techniques used rely on the reproducing kernel thesis for Hankel operators, which is given here with an explicit constant One of the applications of this work is to the finite-time controllability of diagonal systems specified by a C-0 semigroup. (C) 2010 Elsevier Inc All rights reserved.

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Subject classification (UKÄ) – MANDATORY

  • Mathematics

Keywords

  • Hankel operator, Carleson measure, C-0 semigroup, Observability, Controllability, Paley-Wiener space, Interpolation, Model space
Original languageEnglish
Pages (from-to)2424-2436
JournalJournal of Functional Analysis
Volume259
Issue number9
Publication statusPublished - 2010
Publication categoryResearch
Peer-reviewedYes