Publication: Sampling-related frames in finite U-invariant subspaces
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Publication date
2015-07-01
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Elsevier
Abstract
Recently, a sampling theory for infinite dimensional U-invariant subspaces of a separable Hilbert space H where U denotes a unitary operator on H has been obtained. Thus, uniform average sampling for shift-invariant subspaces of L-2(R) becomes a particular example. As in the general case it is possible to have finite dimensional U-invariant subspaces, the main aim of this paper is to derive a sampling theory for finite dimensional U-invariant subspaces of a separable Hilbert space H. Since the used samples are frame coefficients in a suitable euclidean space C-N, the problem reduces to obtain dual frames with a U-invariance property.
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Keywords
Stationary sequences, U-invariant subspaces, Finite frame, Dual frames, Moore-Penrose pseudo-inverse
Bibliographic citation
García, A. G. & Muñoz-Bouzo, M. J. (2015). Sampling-related frames in finite U-invariant subspaces. Applied and Computational Harmonic Analysis, 39(1), 173-184.