Sampling associated with resolvent-type kernels and lagrange-type interpolation series

Fernández Moncada, Paulo Enrique, García García, Antonio and Hernández Medina, Miguel Ángel ORCID: https://orcid.org/0000-0002-0722-1055 (2013). Sampling associated with resolvent-type kernels and lagrange-type interpolation series. "Houston Journal of Mathematics", v. 39 (n. 4); pp. 1333-1347. ISSN 0362-1588.

Description

Title: Sampling associated with resolvent-type kernels and lagrange-type interpolation series
Author/s:
Item Type: Article
Título de Revista/Publicación: Houston Journal of Mathematics
Date: 2013
ISSN: 0362-1588
Volume: 39
Subjects:
Freetext Keywords: Kramer kernel; Resolvent-type kernel; Lagrange-type interpolation series; Zero-removing property; Indeterminate Hamburger moment problem.
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

In this paper a new class of Kramer kernels is introduced, motivated by the resolvent of a symmetric operator with compact resolvent. The article gives a necessary and sufficient condition to ensure that the associ- ated sampling formula can be expressed as a Lagrange-type interpolation series. Finally, an illustrative example, taken from the Hamburger moment problem theory, is included.

More information

Item ID: 29339
DC Identifier: https://oa.upm.es/29339/
OAI Identifier: oai:oa.upm.es:29339
Official URL: http://math.uh.edu/~hjm/Vol39-4.html
Deposited by: Memoria Investigacion
Deposited on: 29 Jun 2014 07:23
Last Modified: 01 Apr 2023 08:09
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