A null series with small anti-analytic part
arXiv:math/0510403 · doi:10.1016/S1631-073X(03)00097-9
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.
6 pages. Should be identical to journal version except for the French abstract