Analytic Kramer kernels, Lagrange-type interpolation series and de Branges spaces

García, Antonio G. and Hernandez Medina, Miguel Angel and Hugon Szafraniec, Franciszek (2011). Analytic Kramer kernels, Lagrange-type interpolation series and de Branges spaces. "Complex Variables and Elliptic Equations: An International Journal" ; pp. 1-19. ISSN 1747-6933. https://doi.org/10.1080/17476933.2010.551206.

Description

Title: Analytic Kramer kernels, Lagrange-type interpolation series and de Branges spaces
Author/s:
  • García, Antonio G.
  • Hernandez Medina, Miguel Angel
  • Hugon Szafraniec, Franciszek
Item Type: Article
Título de Revista/Publicación: Complex Variables and Elliptic Equations: An International Journal
Date: 2011
ISSN: 1747-6933
Subjects:
Freetext Keywords: analytic Kramer kernels, Lagrange-type interpolation series, de Branges spaces
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 (876kB) | Preview

Abstract

The classical Kramer sampling theorem provides a method for obtaining orthogonal sampling formulas. In particular, when the involved kernel is analytic in the sampling parameter it can be stated in an abstract setting of reproducing kernel Hilbert spaces of entire functions which includes as a particular case the classical Shannon sampling theory. This abstract setting allows us to obtain a sort of converse result and to characterize when the sampling formula associated with an analytic Kramer kernel can be expressed as a Lagrange-type interpolation series. On the other hand, the de Branges spaces of entire functions satisfy orthogonal sampling formulas which can be written as Lagrange-type interpolation series. In this work some links between all these ideas are established.

More information

Item ID: 11508
DC Identifier: http://oa.upm.es/11508/
OAI Identifier: oai:oa.upm.es:11508
DOI: 10.1080/17476933.2010.551206
Official URL: http://www.tandfonline.com/doi/abs/10.1080/17476933.2010.551206
Deposited by: Memoria Investigacion
Deposited on: 24 Jul 2012 13:05
Last Modified: 20 Apr 2016 19:33
  • 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