3 papers
math.FA2026
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…
math.FA2026
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…
math.FA2025
Submodules of and Frames by Pairs of Bounded Commuting Operators
Victor Bailey, Carlos Cabrelli
Recent work in Dynamical Sampling has been centered on characterizing frames obtained by the orbit of a vector under a bounded operator. We prove a necessary and sufficient conditi…