Article ID Journal Published Year Pages File Type
5778614 Advances in Mathematics 2017 26 Pages PDF
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.
Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
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