@article{e89fd2de4bbf485ba939498be50db5af,
title = "Fourier quasicrystals and discreteness of the diffraction spectrum",
abstract = "We prove that a positive-definite measure in Rn with uniformly discrete support and discrete closed spectrum, is representable as a finite linear combination of Dirac combs, translated and modulated. This extends our recent results where we proved this under the assumption that also the spectrum is uniformly discrete. As an application we obtain that Hof's quasicrystals with uniformly discrete diffraction spectra must have a periodic diffraction structure.",
keywords = "Diffraction, Dirac comb, Meyer set, Quasicrystal",
author = "Nir Lev and Alexander Olevskii",
note = "Publisher Copyright: {\textcopyright} 2017 Elsevier Inc.",
year = "2017",
month = jul,
day = "31",
doi = "10.1016/j.aim.2017.05.015",
language = "אנגלית",
volume = "315",
pages = "1--26",
journal = "Advances in Mathematics",
issn = "0001-8708",
publisher = "Academic Press Inc.",
}