Generalized sampling in U-invariant subspaces

Fernández Morales, Héctor Raúl and García García, Antonio and Hernandez Medina, Miguel Angel (2013). Generalized sampling in U-invariant subspaces. In: "10th International Conference on Sampling Theory and Applications (SampTA2013)", 01/07/2013 - 05/07/2013, Bremen, Germany. pp. 208-211.

Description

Title: Generalized sampling in U-invariant subspaces
Author/s:
  • Fernández Morales, Héctor Raúl
  • García García, Antonio
  • Hernandez Medina, Miguel Angel
Item Type: Presentation at Congress or Conference (Article)
Event Title: 10th International Conference on Sampling Theory and Applications (SampTA2013)
Event Dates: 01/07/2013 - 05/07/2013
Event Location: Bremen, Germany
Title of Book: Sa10th International Conference on Sampling Theory and Applications (SampTA2013)
Date: 2013
Subjects:
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

In this work we carry out some results in sampling theory for U-invariant subspaces of a separable Hilbert space H, also called atomic subspaces. These spaces are a generalization of the well-known shift- invariant subspaces in L2 (R); here the space L2 (R) is replaced by H, and the shift operator by U. Having as data the samples of some related operators, we derive frame expansions allowing the recovery of the elements in Aa. Moreover, we include a frame perturbation-type result whenever the samples are affected with a jitter error.

More information

Item ID: 30226
DC Identifier: http://oa.upm.es/30226/
OAI Identifier: oai:oa.upm.es:30226
Deposited by: Memoria Investigacion
Deposited on: 20 Sep 2014 09:30
Last Modified: 22 Apr 2016 00:29
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