A null series with small anti-analytic part
经典分析与常微分方程
2007-05-23 v1 复变函数
摘要
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.
关键词
引用
@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}
}
备注
6 pages. Should be identical to journal version except for the French abstract