English

Quasicrystals and Poisson's summation formula

Classical Analysis and ODEs 2015-01-05 v2

Abstract

We characterize the measures on R which have both their support and spectrum uniformly discrete. A similar result is obtained in R^n for positive measures.

Keywords

Cite

@article{arxiv.1312.6884,
  title  = {Quasicrystals and Poisson's summation formula},
  author = {Nir Lev and Alexander Olevskii},
  journal= {arXiv preprint arXiv:1312.6884},
  year   = {2015}
}

Comments

To appear in Inventiones mathematicae

R2 v1 2026-06-22T02:34:48.247Z