Fourier inequalities and sign uncertainty
Classical Analysis and ODEs
2025-05-23 v1
Abstract
Motivated by inequalities in Fourier analysis, we present an improvement on the lower bound for the sign uncertainty principle of Bourgain, Clozel and Kahane in high dimensions. Additionally, our methods can be used to match the existing Torquato-Stillinger lower bounds for the Cohn-Elkies linear program for sphere packing.
Cite
@article{arxiv.2505.15994,
title = {Fourier inequalities and sign uncertainty},
author = {Roni Edwin},
journal= {arXiv preprint arXiv:2505.15994},
year = {2025}
}
Comments
10 pages