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Asymptotic estimates for interpolation and constrained approximation in H2 by diagonalization of Toeplitz operators

Baratchart, L., Grimm, J., LeBlond, J. and Partington, J.R. (2003) Asymptotic estimates for interpolation and constrained approximation in H2 by diagonalization of Toeplitz operators. Integral Equations and Operator Theory, 45 (3). pp. 269-299. ISSN 1420-8989

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Abstract

Sharp convergence rates are provided for interpolation and approximation schemes in the Hardy space H-2 that use band-limited data. By means of new explicit formulae for the spectral decomposition of certain Toeplitz operators, sharp estimates for Carleman and Krein-Nudel'man approximation schemes are derived. In addition, pointwise convergence results are obtained. An illustrative example based on experimental data from a hyperfrequency filter is provided.

Item Type: Article
Copyright, Publisher and Additional Information: © 2003 Birkhauser Verlag Basel/Switzerland. This is an author produced version of a paper published in Integral Equations and Operator Theory. This paper has been peer-reviewed but does not include the final publisher proof-corrections or journal pagination.
Institution: The University of Leeds
Academic Units: The University of Leeds > Faculty of Maths and Physical Sciences (Leeds) > School of Mathematics (Leeds)
Depositing User: Sherpa Assistant
Date Deposited: 25 Oct 2005
Last Modified: 10 Jun 2014 12:05
Published Version: http://www.springerlink.com/openurl.asp?genre=arti...
Status: Published
Refereed: Yes
Identification Number: 10.1007/s000200300005
URI: http://eprints.whiterose.ac.uk/id/eprint/756

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