Local-to-global frames and applications to dynamical sampling problem
Functional Analysis
2019-09-09 v1
Abstract
In this paper we consider systems of vectors in a Hilbert space of the form where and are countable sets of indices. We find conditions under which the local reconstruction properties of such a system extend to global stable recovery properties on the whole space. As a particular case, we obtain new local-to-global results for systems of type arising in the dynamical sampling problem.
Cite
@article{arxiv.1909.02987,
title = {Local-to-global frames and applications to dynamical sampling problem},
author = {Akram Aldroubi and Carlos Cabrelli and Ursula Molter and Armenak Petrosyan},
journal= {arXiv preprint arXiv:1909.02987},
year = {2019}
}