eprintid: 11506
rev_number: 25
eprint_status: archive
userid: 1903
dir: disk0/00/01/15/06
datestamp: 2012-07-25 10:39:16
lastmod: 2023-04-01 08:10:30
status_changed: 2023-04-01 08:10:30
type: article
metadata_visibility: show
item_issues_count: 0
creators_name: Fernàndez-Moncada, P.E.
creators_name: García, A.G.
creators_name: Hernández Medina, Miguel Ángel
title: The Zero-Removing Property and Lagrange-Type Interpolation Series
ispublished: pub
subjects: matematicas
keywords: Analytic Kramer kernels, Lagrange-type interpolation series, Zero-removing property
abstract: The classical Kramer sampling theorem, which provides a method for obtaining orthogonal sampling formulas, can be formulated in a more general nonorthogonal setting. In this setting, a challenging problem is to characterize the situations when the obtained nonorthogonal sampling formulas can be expressed as Lagrange-type interpolation series. In this article a necessary and sufficient condition is given in terms of the zero removing property. Roughly speaking, this property concerns the stability of the sampled functions on removing a finite number of their zeros.
date: 2011
date_type: published
publisher: Taylor & Francis, Ltd.
official_url: http://www.tandfonline.com/doi/abs/10.1080/01630563.2011.587076
id_number: 10.1080/01630563.2011.587076
full_text_status: public
publication: Numerical Functional Analysis And Optimization
volume: 32
number: 8
pagerange: 858-876
institution: Telecomunicacion
department: Matematica_Aplicada7
refereed: TRUE
issn: 0163-0563
rights: by-nc-nd
citation:    Fernàndez-Moncada, P.E., García, A.G. and Hernández Medina, Miguel Ángel  (2011).  The Zero-Removing Property and Lagrange-Type Interpolation Series.   "Numerical Functional Analysis And Optimization", v. 32  (n. 8);   pp. 858-876.  ISSN 0163-0563.   https://doi.org/10.1080/01630563.2011.587076 <https://doi.org/10.1080/01630563.2011.587076>. 
document_url: https://oa.upm.es/11506/2/INVE_MEM_2011_105478.pdf