Riesz sequences and generalized arithmetic progressions
Classical Analysis and ODEs
2017-11-13 v1
Abstract
The purpose of this note is to verify that the results attained in [6] admit an extension to the multidimensional setting. Namely, for subsets of the two dimensional torus we find the sharp growth rate of the step(s) of a generalized arithmetic progression in terms of its size which may be found in an exponential systems satisfying the Riesz sequence property.
Cite
@article{arxiv.1711.03762,
title = {Riesz sequences and generalized arithmetic progressions},
author = {Itay Londner},
journal= {arXiv preprint arXiv:1711.03762},
year = {2017}
}