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

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.

Metadata

Authors/Creators:	Baratchart, L. Grimm, J. LeBlond, J. Partington, J.R.
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.
Dates:	Published: March 2003
Institution:	The University of Leeds
Academic Units:	The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds)
Depositing User:	Sherpa Assistant
Date Deposited:	25 Oct 2005
Last Modified:	24 Oct 2016 17:47
Published Version:	http://www.springerlink.com/openurl.asp?genre=arti...
Status:	Published
Refereed:	Yes
Identification Number:	https://doi.org/10.1007/s000200300005

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

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