The Littlewood problem and non-harmonic Fourier series
Classical Analysis and ODEs
2023-12-12 v2
Abstract
In this paper, we give a direct quantitative estimate of norms of non-harmonic trigonometric polynomials over large enough intervals. This extends the result by Konyagin and Mc Gehee, Pigno, Smith to the settingof trigonometric polynomials with non-integer frequencies.The result is a quantitative extension of a result by Nazarov and also covers a resultby Hudson and Leckband when the length of the interval goes to infinity.
Keywords
Cite
@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}
}
Comments
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