3 citations · 8 across the 7 of their papers we have counts for
9 papers
Variations on two Cabrelli's works
Elona Agora, Jorge Antezana, Diana Carbajal
In this paper we present two different problems within the framework of shift-invariant theory. First, we develop a triangular form for shift-preserving operators acting on finitel…
Model agnostic signal encoding by leaky integrate and fire, performance and uncertainty
Diana Carbajal, José Luis Romero
Integrate-and-fire is a resource efficient time-encoding mechanism that summarizes into a signed spike train those time intervals where a signal's charge exceeds a certain threshol…
Random periodic sampling patterns for shift-invariant spaces
Jorge Antezana, Diana Carbajal, José Luis Romero
We consider multi-variate signals spanned by the integer shifts of a set of generating functions with distinct frequency profiles and the problem of reconstructing them from sample…
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…
The structure of group preserving operators
Davide Barbieri, Carlos Cabrelli, Diana Carbajal +2
In this paper, we prove the existence of a particular diagonalization for normal bounded operators defined on subspaces of where is a second coun…
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…
Riesz Bases of Exponentials on Unbounded Multi-tiles
Carlos Cabrelli, Diana Carbajal
We prove the existence of Riesz bases of exponentials of L^2(Omega), provided that Omega in R^d is a measurable set of finite and positive measure, not necessarily bounded, that sa…