3 citations · 6 across the 4 of their papers we have counts for
5 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…
Frames by orbits of two operators that commute
A. Aguilera, C. Cabrelli, D. Carbajal +1
Frames formed by orbits of vectors through the iteration of a bounded operator have recently attracted considerable attention, in particular due to its applications to dynamical sa…
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…
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…