The crystalline measure that is not a Fourier Quasicrystal

2024/01/02 by Serhii Favorov, Favorov, Serhii
Materials Science · #Quasicrystal Structures and Properties #Nanocluster Synthesis and Applications

paper · pdf · doi:10.48550/arxiv.2401.01121

Abstract

We construct a crystalline measure on the real line, which is not a Fourier Quasicrystal.

Related

• Fourier quasicrystals with unit masses
• Almost periodic distributions and crystalline measures
• Growth of masses of crystalline measures
• Analogues of Fourier quasicrystals for a strip
• Multidimensional Fourier Quasicrystals I. Sufficient Conditions