Cantor uniqueness and multiplicity along subsequences
Classical Analysis and ODEs
2019-10-24 v3
Abstract
We construct a trigonometric series converging to zero everywhere on a subsequence, with coefficients tending to zero. We show that any such series must satisfy that the subsequence is very sparse, and that the support of the related distribution is quite large.
Keywords
Cite
@article{arxiv.1804.06902,
title = {Cantor uniqueness and multiplicity along subsequences},
author = {Gady Kozma and Alexander Olevskii},
journal= {arXiv preprint arXiv:1804.06902},
year = {2019}
}
Comments
23 pages. New version has small improvements to presentation and references. To appear in Algebra and Analysis