19 citations · 40 across the 31 of their papers we have counts for
42 papers
Dynamical Sampling in Graph Paley--Wiener Spaces
Iulia Martina Bulai, Carlos Cabrelli, Elena Cordero +2
We study dynamical sampling for graph signals using the spectral theory of the normalized graph Laplacian. Graph Paley-Wiener spaces GPW_w are defined as spectral subspaces associa…
Dynamical Sampling: A Survey
Akram Aldroubi, Carlos Cabrelli, Ilya Krishtal +1
Dynamical sampling refers to a class of problems in which space-time samples are taken from a signal evolving under an underlying dynamical system. The goal is to use these samples…
Periodic Source Detection in Discrete Dynamical Systems via space-time sampling
Akram Aldroubi, Carlos Cabrelli, Ursula Molter
In this paper, we examine a discrete dynamical system defined by x(n+1) = Ax(n)+ w(n), where x takes values in a Hilbert space H and w is a periodic source with values in a fixed c…
Weaving Riesz Bases
Carlos Cabrelli, Ursula Molter, Felipe Negreira
This paper explores woven frames in separable Hilbert spaces with an initial focus on the finite-dimensional case. We begin by simplifying the problem to bases, for which we obtain…
Learning optimal smooth invariant subspaces for data approximation
Davide Barbieri, Eugenio Hernández, Carlos Cabrelli +1
In this article, we consider the problem of approximating a finite set of data (usually huge in applications) by invariant subspaces generated through a small set of smooth functio…
Frames of iterations and vector-valued model spaces
Carlos Cabrelli, Ursula Molter, Daniel Suárez
Let T be a bounded operator on a Hilbert space H, and F = {f_j: j in J} an at most countable set of vectors in H. In this note, we characterize the pairs {T, F} such that {T^n f: f…