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arXiv · 1501.00085

Quasicrystals with discrete support and spectrum

Nir Lev·Alexander Olevskii
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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.

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Nir Lev, Alexander Olevskii. 2014-12-31. Quasicrystals with discrete support and spectrum. https://arxiv.org/abs/1501.00085

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