Quasicrystals with discrete support and spectrum
Nir Lev
Bar-Ilan University, Ramat Gan, IsraelAlexander Olevskii
Tel Aviv University, Israel
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Abstract
We proved recently that a measure on , 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.
Cite this article
Nir Lev, Alexander Olevskii, Quasicrystals with discrete support and spectrum. Rev. Mat. Iberoam. 32 (2016), no. 4, pp. 1341–1352
DOI 10.4171/RMI/920