On some sampling-related frames in U-invariant spaces

Fernández Morales, Héctor Raúl and García García, Antonio and Hernandez Medina, Miguel Angel and Muñoz Bouto, María José (2013). On some sampling-related frames in U-invariant spaces. "Abstract and Applied Analysis", v. 2013 ; pp. 1-25. ISSN 1085-3375. https://doi.org/10.1155/2013/761620.

Description

Title: On some sampling-related frames in U-invariant spaces
Author/s:
  • Fernández Morales, Héctor Raúl
  • García García, Antonio
  • Hernandez Medina, Miguel Angel
  • Muñoz Bouto, María José
Item Type: Article
Título de Revista/Publicación: Abstract and Applied Analysis
Date: 2013
ISSN: 1085-3375
Volume: 2013
Subjects:
Freetext Keywords: Stationary sequences; U-invariant subspaces; Frames; Dual frames; Group of unitary operators; Perturbation of frames
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

This paper concerns the characterization as frames of some sequences in U-invariant spaces of a separable Hilbert space H where U denotes an unitary operator defined on H ; besides, the dual frames having the same form are also found. This general setting includes, in particular, shift-invariant or modulation-invariant subspaces in L2 (R), where these frames are intimately related to the generalized sampling problem. We also deal with some related perturbation problems. In so doing, we need that the unitary operator U belongs to a continuous group of unitary operators.

More information

Item ID: 29341
DC Identifier: http://oa.upm.es/29341/
OAI Identifier: oai:oa.upm.es:29341
DOI: 10.1155/2013/761620
Official URL: http://www.hindawi.com/journals/aaa/2013/761620/
Deposited by: Memoria Investigacion
Deposited on: 29 Jun 2014 07:51
Last Modified: 22 Sep 2014 11:44
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