Chadi Saba

collaborators

3 papers

math.CA2024

On L1-norms for non-harmonic trigonometric polynomials with sparse frequencies

Philippe Jaming, Karim Kellay, Chadi Saba +1

In this paper we show that, if an increasing sequence $Λ = (λ_{k})_{k \in Z}$ has gaps going to infinity $λ_{k + 1} - λ_{k} \to + \infty$ when $k \to \pm \infty$ , then for every $T > 0$ and…

math.CA2023

From Ingham to Nazarov's inequality: a survey on some trigonometric inequalities

Philippe Jaming, Chadi Saba

The aim of this paper is to give an overview of some inequalities about $L^{p}$ -norms ( $p = 1$ or $p = 2$ ) of harmonic (periodic) and non-harmonic trigonometric polynomials. Among the…

math.CA2023

The Littlewood problem and non-harmonic Fourier series

Philippe Jaming, Karim Kellay, Chadi Saba

In this paper, we give a direct quantitative estimate of $L^{1}$ norms of non-harmonic trigonometric polynomials over large enough intervals. This extends the result by Konyagin and M…