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

Fernández Moncada, Paulo Enrique and García García, Antonio and Hernandez Medina, Miguel Angel (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:
  • Fernández Moncada, Paulo Enrique
  • García García, Antonio
  • Hernandez Medina, Miguel Angel
Item Type: Article
Título de Revista/Publicación: Houston Journal of Mathematics
Date: 2013
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

Full text

[img]
Preview
PDF - Requires a PDF viewer, such as GSview, Xpdf or Adobe Acrobat Reader
Download (169kB)

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: http://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: 22 Sep 2014 11:44
  • Logo InvestigaM (UPM)
  • Logo GEOUP4
  • Logo Open Access
  • Open Access
  • Logo Sherpa/Romeo
    Check whether the anglo-saxon journal in which you have published an article allows you to also publish it under open access.
  • Logo Dulcinea
    Check whether the spanish journal in which you have published an article allows you to also publish it under open access.
  • Logo de Recolecta
  • Logo del Observatorio I+D+i UPM
  • Logo de OpenCourseWare UPM