The Zero-Removing Property and Lagrange-Type Interpolation Series

Fernàndez-Moncada, P.E. and García, A.G. and Hernandez Medina, Miguel Angel (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.

Description

Title: The Zero-Removing Property and Lagrange-Type Interpolation Series
Author/s:
  • Fernàndez-Moncada, P.E.
  • García, A.G.
  • Hernandez Medina, Miguel Angel
Item Type: Article
Título de Revista/Publicación: Numerical Functional Analysis And Optimization
Date: 2011
ISSN: 0163-0563
Volume: 32
Subjects:
Freetext Keywords: Analytic Kramer kernels, Lagrange-type interpolation series, Zero-removing property
Faculty: E.T.S.I. Telecomunicación (UPM)
Department: Matemática Aplicada a las Tecnologías de la Información [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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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.

More information

Item ID: 11506
DC Identifier: http://oa.upm.es/11506/
OAI Identifier: oai:oa.upm.es:11506
DOI: 10.1080/01630563.2011.587076
Official URL: http://www.tandfonline.com/doi/abs/10.1080/01630563.2011.587076
Deposited by: Memoria Investigacion
Deposited on: 25 Jul 2012 10:39
Last Modified: 20 Apr 2016 19:33
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