The Kramer sampling theorem revisited

García García, Antonio and Hernandez Medina, Miguel Angel and Muñoz Bouto, María José (2013). The Kramer sampling theorem revisited. "Acta Applicandae Mathematicae" ; pp. 1-28. ISSN 0167-8019. https://doi.org/10.1007/s10440-013-9860-1.

Description

Title: The Kramer sampling theorem revisited
Author/s:
  • García García, Antonio
  • Hernandez Medina, Miguel Angel
  • Muñoz Bouto, María José
Item Type: Article
Título de Revista/Publicación: Acta Applicandae Mathematicae
Date: December 2013
ISSN: 0167-8019
Subjects:
Freetext Keywords: Sampling formulas; Kramer kernels; Reproducing kernel Hilbert spaces; Lagrange-type interpolation series; Zero-removing property; Semi-inner products; Reproducing kernel Banach spaces; Reproducing distributions
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 (353kB)

Abstract

The classical Kramer sampling theorem provides a method for obtaining orthogonal sampling formulas. Besides, it has been the cornerstone for a significant mathematical literature on the topic of sampling theorems associated with differential and difference problems. In this work we provide, in an unified way, new and old generalizations of this result corresponding to various different settings; all these generalizations are illustrated with examples. All the different situations along the paper share a basic approach: the functions to be sampled are obtaining by duality in a separable Hilbert space H through an H -valued kernel K defined on an appropriate domain.

More information

Item ID: 29340
DC Identifier: http://oa.upm.es/29340/
OAI Identifier: oai:oa.upm.es:29340
DOI: 10.1007/s10440-013-9860-1
Official URL: http://link.springer.com/article/10.1007/s10440-013-9860-1#
Deposited by: Memoria Investigacion
Deposited on: 29 Jun 2014 07:37
Last Modified: 01 Jan 2015 23:56
  • 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