Cohn-Elkies functions from Gabor frames
Functional Analysis
2022-12-14 v1 Metric Geometry
Abstract
We investigate the relation between two different mathematical problems: the construction of bounds on sphere packing density using Cohn-Elkies functions and the construction of Gabor frames for signal analysis. In particular, we present a general construction of Cohn-Elkies functions in arbitrary dimension, obtained from an approximate Wexel-Raz dual for Gabor frames with Gaussian window.
Keywords
Cite
@article{arxiv.2212.06778,
title = {Cohn-Elkies functions from Gabor frames},
author = {Yuri Manin and Matilde Marcolli},
journal= {arXiv preprint arXiv:2212.06778},
year = {2022}
}
Comments
27 pages, LaTeX