Open Access
2013 On Some Sampling-Related Frames in U -Invariant Spaces
H. R. Fernández-Morales, A. G. García, M. A. Hernández-Medina, M. J. Muñoz-Bouzo
Abstr. Appl. Anal. 2013: 1-14 (2013). DOI: 10.1155/2013/761620


This paper is concerned with the characterization as frames of some sequences in U -invariant spaces of a separable Hilbert space where U denotes an unitary operator defined on ; besides, the dual frames having the same form are also found. This general setting includes, in particular, shift-invariant or modulation-invariant subspaces in L 2 , where these frames are intimately related to the generalized sampling problem. We also deal with some related perturbation problems. In doing so, we need the unitary operator U to belong to a continuous group of unitary operators.


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H. R. Fernández-Morales. A. G. García. M. A. Hernández-Medina. M. J. Muñoz-Bouzo. "On Some Sampling-Related Frames in U -Invariant Spaces." Abstr. Appl. Anal. 2013 1 - 14, 2013.


Published: 2013
First available in Project Euclid: 27 February 2014

zbMATH: 07095341
MathSciNet: MR3129341
Digital Object Identifier: 10.1155/2013/761620

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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