1 citations · 1 across the 3 of their papers we have counts for
4 papers
Riesz bases associated with regular representations of semidirect product groups
A. G. Garcia, G. Perez-Villalon
This work is devoted to the study of Bessel and Riesz systems of the type obtained from the action of the left regular representation of…
Sampling in unitary invariant subspaces associated to LCA groups
A. G. Garcia, M. A. Hernandez-Medina, G. Perez-Villalon
In this paper a sampling theory for unitary invariant subspaces associated to locally compact abelian (LCA) groups is deduced. Working in the LCA group context allows to obtain, in…
Filter Banks on Discrete Abelian Groups
Antonio Garcia Garcia, Miguel Angel Hernandez-Medina, Gerardo Perez-Villalon
In this work we provide polyphase, modulation, and frame theoretical analyses of a filter bank on a discrete abelian group. Thus, multidimensional or cyclic filter banks as well as…
On the existence of compactly supported reconstruction functions in a sampling problem
A. G. Garcia, M. A. Hernandez-Medina, G. Perez-Villalon
Assume that samples of a filtered version of a function in a shift-invariant space are avalaible. This work deals with the existence of a sampling formula involving these samples a…