Quasicrystals with discrete support and spectrum
Classical Analysis and ODEs
2015-09-09 v3 Mathematical Physics
math.MP
Abstract
We proved recently that a measure on R, whose support and spectrum are both uniformly discrete sets, must have a periodic structure. Here we show that this is not the case if the support and the spectrum are just discrete closed sets.
Keywords
Cite
@article{arxiv.1501.00085,
title = {Quasicrystals with discrete support and spectrum},
author = {Nir Lev and Alexander Olevskii},
journal= {arXiv preprint arXiv:1501.00085},
year = {2015}
}
Comments
Main result stated in a stronger form that was not mentioned explicitly in the first version. To appear in Revista Matematica Iberoamericana