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The Zero-Removing Property and Lagrange-Type Interpolation Series
Citation
Fernàndez-Moncada, P.E. and 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.
Description
| Title: | The Zero-Removing Property and Lagrange-Type Interpolation Series |
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| Author/s: |
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| 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 |
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 |
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| DC Identifier: | https://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/10.1080/0163056... |
| Deposited by: | Memoria Investigacion |
| Deposited on: | 25 Jul 2012 10:39 |
| Last Modified: | 01 Apr 2023 08:10 |
