on some sampling-related frames in u-invariant spaces

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ID: 230141
2013
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Abstract
This paper is concerned with 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 L2ℝ, 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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fernndez-morales2013abstracton Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;H. R. Fernández-Morales;A. G. García;M. A. Hernández-Medina;M. J. Muñoz-Bouzo
Journal science and technology of advanced materials
Year 2013
DOI
10.1155/2013/761620
URL
http://dx.doi.org/10.1155/2013/761620
Keywords
mathematics

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