Large Fourier Quasicrystals and Wiener's Theorem
Classical Analysis and ODEs
2017-01-24 v1
Abstract
We find new simple conditions for support of a discrete measure on Euclidean space to be a finite union of translated lattices. The arguments are based on a local analog of Wiener's Theorem on absolutely convergent trigonometric series and theory of almost periodic functions.
Keywords
Cite
@article{arxiv.1701.06211,
title = {Large Fourier Quasicrystals and Wiener's Theorem},
author = {Sergey Favorov},
journal= {arXiv preprint arXiv:1701.06211},
year = {2017}
}
Comments
10 pages, bibliography 17 items