A null series with small anti-analytic part
Classical Analysis and ODEs
2007-05-23 v1 Complex Variables
Abstract
We show that it is possible for a square integrable function on the circle, which is a sum of an almost everywhere convergent series of exponentials with positive frequencies, to not belong to the Hardy space. A consequence in the uniqueness theory is obtained.
Keywords
Cite
@article{arxiv.math/0510403,
title = {A null series with small anti-analytic part},
author = {Gady Kozma and Alexander Olevskii},
journal= {arXiv preprint arXiv:math/0510403},
year = {2007}
}
Comments
6 pages. Should be identical to journal version except for the French abstract