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Quasicrystals with discrete support and spectrum

  • Bar-Ilan University

Research output: Contribution to journalArticlepeer-review

23 Scopus citations

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.

Original languageEnglish
Pages (from-to)1341-1352
Number of pages12
JournalRevista Matematica Iberoamericana
Volume32
Issue number4
DOIs
StatePublished - 2016

Funding

Funders
Israel Science Foundation

    Keywords

    • Cut-and-project
    • Model set
    • Poisson summation formula
    • Quasicrystals

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