Is PLA large?
Classical Analysis and ODEs
2007-05-23 v2
Abstract
We examine the class of functions representable by an analytic sum (by which we mean a trigonometric sum involving only positive frequencies) converging almost everywhere. We show that it is dense but that it is first category and has zero Wiener measure.
Keywords
Cite
@article{arxiv.math/0510130,
title = {Is PLA large?},
author = {Gady Kozma and Alexander Olevskii},
journal= {arXiv preprint arXiv:math/0510130},
year = {2007}
}
Comments
10 pages. New version removes one conjecture which we can now prove