3 papers
math.FA2019
Convolution systems on discrete abelian groups as a unifying strategy in sampling theory
Antonio G. García, Miguel A. Hernández-Medina, Gerardo Pérez-Villalón
A regular sampling theory in a multiply generated unitary invariant subspace of a separable Hilbert space is proposed. This subspace is associated to a unitary repres…
math.FA2018
Semi-direct product of groups, filter banks and sampling
Antonio G. García, Miguel A. Hernández-Medina, Gerardo Pérez-Villalón
An abstract sampling theory associated to a unitary representation of a countable discrete non abelian group , which is a semi-direct product of groups, on a separable Hilbert s…
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…