Littlewood问题与非调和Fourier级数
经典分析与常微分方程
2023-12-12 v2
摘要
本文中，我们给出大区间上非调和三角多项式范数的直接定量估计。这将Konyagin以及McGehee、Pigno、Smith的结果推广至具有非整数频率的三角多项式情形。该结果是对Nazarov结果的定量推广，并且当区间长度趋于无穷时也涵盖了Hudson与Leckband的结果。
引用
@article{arxiv.2303.10919,
title = {The Littlewood problem and non-harmonic Fourier series},
author = {Philippe Jaming and Karim Kellay and Chadi Saba},
journal= {arXiv preprint arXiv:2303.10919},
year = {2023}
}
备注
Tis version has been revised according to the referees remarks.The appendixes are not present in the final version, only in the arxiv/hal version