8 citations · 18 across the 14 of their papers we have counts for
20 papers
Optimal Dynamical Frames
A. Aguilera, C. Cabrelli, F. Negreira +1
Motivated by the dynamical sampling problem, we study frames in an infinite dimensional Hilbert space generated by the iterates of a bounded operator T, also known as dynamical fra…
Reducing and Invariant subspaces under two commuting shift operators
Alejandra Aguilera, Carlos Cabrelli, Diana Carbajal +1
In this article, we characterize reducing and invariant subspaces of the space of square integrable functions defined in the unit circle and having values in some Hardy space with…
Maximal operators on the infinite-dimensional torus
Dariusz Kosz, Javier Martínez Perales, Victoria Paternostro +2
We study maximal operators related to bases on the infinite-dimensional torus . {For the normalized Haar measure on it is known that $M^{\mathcal{…
Extra-invariance of group actions
C. Cabrelli, C. A. Mosquera, V. Paternostro
Given discrete groups we characterize -invariant spaces that are also invariant under . This will be done in terms of subspaces that we define using an appro…
Dynamical Sampling for Shift-preserving Operators
A. Aguilera, C. Cabrelli, D. Carbajal +1
In this note, we solve the dynamical sampling problem for a class of shift-preserving operators acting on a finitely generated shift-invariant space . We find conditi…
Diagonalization of Shift-Preserving Operators
Alejandra Aguilera, Carlos Cabrelli, Diana Carbajal +1
In this note we study the structure of shift-preserving operators acting on a finitely generated shift-invariant space. We define a new notion of diagonalization for these operator…