The Littlewood problem and non-harmonic Fourier series
arXiv:2303.10919 · doi:10.1007/s00208-023-02692-w
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.
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