English

Analytic representation of functions and a new quasi-analyticity threshold

Classical Analysis and ODEs 2007-05-23 v2 Complex Variables

Abstract

We characterize precisely the possible rate of decay of the anti-analytic half of a trigonometric series converging to zero almost everywhere.

Keywords

Cite

@article{arxiv.math/0406261,
  title  = {Analytic representation of functions and a new quasi-analyticity threshold},
  author = {Gady Kozma and Alexander Olevskii},
  journal= {arXiv preprint arXiv:math/0406261},
  year   = {2007}
}

Comments

32 pages, published version

R2 v1 2026-07-22T17:06:38.625Z