Weighted interpolation in Paley-Wiener spaces and finite-time controllability
type: Item
instance of: scholarly article
title: Weighted interpolation in Paley-Wiener spaces and finite-time controllability
zbMATH Open document ID: 1206.47020
author: Birgit Jacob
author: Jonathan R. Partington
author: Sandra Pott
published in: Journal of Functional Analysis
publication date: 2010-10-18T00:00:00Z
review text: The authors treat two closely related topics, one from operator theory and complex analysis, the other from control theory. The first topic is related to the solution of the weighted interpolation problem in model subspaces of the Hardy space that are canonically isometric to Paley-Wiener spaces of analytic functions. The second topic is an application of their results to finite-time controllability of diagonal systems specified by a \(C_0\)-semigroup.
reviewed by: Florian-Horia Vasilescu
Mathematics Subject Classification ID: 47A57
Mathematics Subject Classification ID: 30H10
Mathematics Subject Classification ID: 47D06
zbMATH DE Number: 5801197
zbMATH Keywords: interpolation
zbMATH Keywords: model space
zbMATH Keywords: Paley-Wiener space
zbMATH Keywords: controllability
zbMATH Keywords: observability
zbMATH Keywords: \(C_0\)-semigroup
zbMATH Keywords: Hankel operator
zbMATH Keywords: Carleson measure
Wikidata QID: Q56319244
MaRDI profile type: Publication
full work available at URL: j.jfa.2010.06.014
OpenAlex ID: W2070478790
cites work: Boundedness of Hankel Matrices
cites work: Q4848744
cites work: Q4660802
cites work: On controllability of diagonal systems with one-dimensional input space
cites work: Interpolation by vector-valued analytic functions, with applications to controllability
cites work: Properties of the realization of inner functions
cites work: A weighted interpolation problem for analytic functions
cites work: Interpolation of weighted \(\ell^q\) sequences by \(H^p\) functions
cites work: Sharp estimates in vector Carleson imbedding theorem and for vector paraproducts
cites work: Operators, functions, and systems: an easy reading. Volume I: Hardy, Hankel, and Toeplitz. Transl. from the French by Andreas Hartmann
cites work: Bounded and Compact Vectorial Hankel Operators
cites work: Q5694790
cites work: Admissible observation operators for the right-shift semigroup
cites work: Carleson potentials and the reproducing kernel thesis for embedding theorems
cites work: Q3951096
cites work: Necessary conditions for exact controllability with a finite-dimensional input space
cites work: A General Necessary Condition for Exact Observability
cites work: Q4830330
cites work: On Some Interpolation Problems for Analytic Functions
cites work: Q3532992
DOI: 10.1016/J.JFA.2010.06.014
description: scientific article; zbMATH DE number 5801197