On uniformly minimal and 'uniformly complete' exponential systems
Classical Analysis and ODEs
2024-12-13 v1 Dynamical Systems
Abstract
A.Olevskii and A.Ulanovskii obtained a scale of density results, which correspond to how well an exponential system approximates a uniformly minimal system over a compact set. We extend their result in several directions. First, we show that it holds for any set of positive finite measure. Next, we consider a relaxed version of frames, which we term 'uniformly complete systems', and obtain an analogues scale of density results for such systems.
Cite
@article{arxiv.2412.08791,
title = {On uniformly minimal and 'uniformly complete' exponential systems},
author = {Shahaf Nitzan},
journal= {arXiv preprint arXiv:2412.08791},
year = {2024}
}
Comments
18 pages