García García, AntonioMuñoz-Bouzo, María José2022-12-152022-12-152015-07-01García, A. G. & Muñoz-Bouzo, M. J. (2015). Sampling-related frames in finite U-invariant subspaces. Applied and Computational Harmonic Analysis, 39(1), 173-184.1063-5203https://hdl.handle.net/10016/36185Recently, 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.12eng© 2014 Elsevier Inc. All rights reservedAtribución-NoComercial-SinDerivadas 3.0 EspañaStationary sequencesU-invariant subspacesFinite frameDual framesMoore-Penrose pseudo-inverseresearch articleInformáticahttps://doi.org/10.1016/j.acha.2014.09.008open access1731184Applied and Computational Harmonic Analysis39AR/0000016908