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A short guide to pure point diffraction in cut-and-project sets

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 نشر من قبل Christoph Richard
 تاريخ النشر 2016
  مجال البحث فيزياء
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We briefly review the diffraction of quasicrystals and then give an elementary alternative proof of the diffraction formula for regular cut-and-project sets, which is based on Bochners theorem from Fourier analysis. This clarifies a common view that the diffraction of a quasicrystal is determined by the diffraction of its underlying lattice. To illustrate our approach, we will also treat a number of well-known explicitly solvable examples.



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