Duality in reconstruction systems

dc.creatorMassey, Pedro Gustavo
dc.creatorRuiz, Mariano Andrés
dc.creatorStojanoff, Demetrio
dc.date2012
dc.date2019-10-24T17:59:28Z
dc.identifierhttp://sedici.unlp.edu.ar/handle/10915/84020
dc.identifierissn:0024-3795
dc.descriptionWe consider reconstruction systems (RS's), which are G-frames in a finite dimensional setting, and that includes the fusion frames as projective RS's. We describe the spectral picture of the set of RS operators for the projective systems with fixed weights. We also introduce a functional defined on dual pairs of RS's, called the joint potential, and study the structure of the minimizers of this functional. In the case of irreducible RS's the minimizers are characterize as the tight systems. In the general case we give spectral and geometric characterizations of the minimizers of the joint potential. At the end of the paper we show several examples that illustrate our results.
dc.descriptionFacultad de Ciencias Exactas
dc.formatapplication/pdf
dc.format447-464
dc.languageen
dc.rightshttp://creativecommons.org/licenses/by-nc-sa/4.0/
dc.rightsCreative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.subjectCiencias Exactas
dc.subjectMatemática
dc.subjectDual reconstruction systems
dc.subjectFusion frames
dc.subjectReconstruction systems
dc.titleDuality in reconstruction systems
dc.typeArticulo
dc.typeArticulo


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