A set with no Riesz basis of exponentials
Classical Analysis and ODEs
2021-10-06 v1
Abstract
We show that there exists a bounded subset of R such that no system of exponentials can be a Riesz basis for the corresponding Hilbert space. An additional result gives a lower bound for the Riesz constant of any putative Riesz basis of the two dimensional disk.
Cite
@article{arxiv.2110.02090,
title = {A set with no Riesz basis of exponentials},
author = {Gady Kozma and Shahaf Nitzan and Alexander Olevskii},
journal= {arXiv preprint arXiv:2110.02090},
year = {2021}
}
Comments
8 pages