Weighted interpolation in Paley-Wiener spaces and finite-time controllability
(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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1673077
- author
- Jacob, Birgit ; Partington, Jonathan R. and Pott, Sandra LU
- organization
- publishing date
- 2010
- 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
- 2016-04-01 13:37:12
- date last changed
- 2022-03-21 19:36:00
@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}}, keywords = {{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}}, doi = {{10.1016/j.jfa.2010.06.014}}, volume = {{259}}, year = {{2010}}, }