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

Jacob, Birgit; Partington, Jonathan R. and Pott, Sandra LU (2010) In Journal of Functional Analysis 259(9). p.2424-2436
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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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Hankel operator, Carleson measure, C-0 semigroup, Observability, Controllability, Paley-Wiener space, Interpolation, Model space
in
Journal of Functional Analysis
volume
259
issue
9
pages
2424 - 2436
publisher
Elsevier
external identifiers
  • wos:000281261300010
  • scopus:77955657405
ISSN
0022-1236
DOI
10.1016/j.jfa.2010.06.014
language
English
LU publication?
yes
id
0a2e8a66-995c-4eef-a98d-fcb0fc58373c (old id 1673077)
date added to LUP
2010-09-23 12:36:27
date last changed
2018-05-29 11:40:09
@article{0a2e8a66-995c-4eef-a98d-fcb0fc58373c,
  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.},
  author       = {Jacob, Birgit and Partington, Jonathan R. and Pott, Sandra},
  issn         = {0022-1236},
  keyword      = {Hankel operator,Carleson measure,C-0 semigroup,Observability,Controllability,Paley-Wiener space,Interpolation,Model space},
  language     = {eng},
  number       = {9},
  pages        = {2424--2436},
  publisher    = {Elsevier},
  series       = {Journal of Functional Analysis},
  title        = {Weighted interpolation in Paley-Wiener spaces and finite-time controllability},
  url          = {http://dx.doi.org/10.1016/j.jfa.2010.06.014},
  volume       = {259},
  year         = {2010},
}