From sphere packing to Fourier interpolation
Metric Geometry
2024-07-23 v1 Functional Analysis
Number Theory
Abstract
Viazovska's solution of the sphere packing problem in eight dimensions is based on a remarkable construction of certain special functions using modular forms. Great mathematics has consequences far beyond the problems that originally inspired it, and Viazovska's work is no exception. In this article, we'll examine how it has led to new interpolation theorems in Fourier analysis, specifically a theorem of Radchenko and Viazovska.
Keywords
Cite
@article{arxiv.2407.14999,
title = {From sphere packing to Fourier interpolation},
author = {Henry Cohn},
journal= {arXiv preprint arXiv:2407.14999},
year = {2024}
}
Comments
20 pages, 5 figures