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.


Title: The Kramer sampling theorem revisited
  • 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
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

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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.

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Item ID: 29340
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OAI Identifier:
DOI: 10.1007/s10440-013-9860-1
Official URL:
Deposited by: Memoria Investigacion
Deposited on: 29 Jun 2014 07:37
Last Modified: 01 Jan 2015 23:56
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