Uniqueness Theorems for Fourier Quasicrystals and Temperate\n Distributions with Discrete Support

2020/06/13 by S. Favorov, Favorov, S. Yu., S. Yu. Favorov
Materials Science · Mathematics · #42A75 #42B10 #52C23 #Analytic and geometric function theory #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Mathematical Physics (math-ph) #Quasicrystal Structures and Properties

paper · pdf · doi:10.48550/arxiv.2006.07610

openalex publication_date 2020/06/13 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

It is proved that if some points of the supports of two Fourier quasicrystals\napproach each other while tending to infinity and the same is true for the\nmasses at these points, then these quasicrystals coincide. A similar statement\nis obtained for a certain class of discrete temperate distributions.\n

Related

• Temperate distributions with locally finite support and spectrum on Euclidean spaces
• Fourier quasicrystals and distributions on Euclidean spaces with spectrum of bounded density
• Quasicrystals with discrete support and spectrum
• Uniqueness theorem for Fourier transformable measures on LCA groups
• Almost periodic distributions and crystalline measures