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math.FA2018
Regular generalized sampling in T-invariant subspaces of a Hilbert space
Antonio G. García, María J. Muñoz-Bouzo, Gerardo Pérez-Villalón
A regular generalized sampling theory in some structured T-invariant subspaces of a Hilbert space H, where T denotes a bounded invertible operator in H, is established in this pape…
math.FA2017
Sampling formulas involving differences in shift-invariant subspaces: a unified approach
Antonio G. García, María J. Muñoz-Bouzo
Successive differences on a sequence of data help to discover some smoothness features of this data. This was one of the main reasons for rewriting the classical interpolation form…
math.FA2015
Modeling sampling in tensor products of unitary invariant subspaces
Antonio G. García, Alberto Ibort, María J. Muñoz-Bouzo
The use of unitary invariant subspaces of a Hilbert space is nowadays a recognized fact in the treatment of sampling problems. Indeed, shift-invariant subspaces of $L…