Fernández Morales, Héctor RaúlGarcía García, AntonioHernández Medina, Miguel ÁngelMuñoz-Bouzo, María José2022-12-122022-12-122015-05-01Analysis and Applications, (2015), 13(3), pp. 303-329.0219-5305https://hdl.handle.net/10016/36166The aim of this article is to derive a sampling theory in U-invariant subspaces of a separable Hilbert space ℋ where U denotes a unitary operator defined on ℋ. To this end, we use some special dual frames for L2(0, 1), and the fact that any U-invariant subspace with stable generator is the image of L2(0, 1) by means of a bounded invertible operator. The used mathematical technique mimics some previous sampling work for shift-invariant subspaces of L2(ℝ). Thus, sampling frame expansions in U-invariant spaces are obtained. In order to generalize convolution systems and deal with the time-jitter error in this new setting we consider a continuous group of unitary operators which includes the operator U.326eng© World Scientific Publishing Company.Stationary sequencesU-invariant subspacesFramesDual framesTime-jitter errorGroup of unitary operatorsPseudo-dual framesresearch articleMatemáticashttps://doi.org/10.1142/S0219530514500213open access3033329Analysis and Applications13AR/0000016837