title: The Zero-Removing Property and Lagrange-Type Interpolation Series
creator: Fernàndez-Moncada, P.E.
creator: García, A.G.
creator: Hernández Medina, Miguel Ángel
subject: Mathematics
description: 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.
publisher: E.T.S.I. Telecomunicación (UPM)
rights: https://creativecommons.org/licenses/by-nc-nd/3.0/es/
date: 2011
type: info:eu-repo/semantics/article
type: Article
source: Numerical Functional Analysis And Optimization, ISSN 0163-0563, 2011, Vol. 32, No. 8
type: PeerReviewed
format: application/pdf
language: eng
relation: http://www.tandfonline.com/doi/abs/10.1080/01630563.2011.587076
rights: info:eu-repo/semantics/openAccess
relation: info:eu-repo/semantics/altIdentifier/doi/10.1080/01630563.2011.587076
identifier: https://oa.upm.es/11506/