2024/08/18 by Favorov, Sergii
Materials Science · Mathematics · #Quasicrystal Structures and Properties #Analytic and geometric function theory
paper · pdf · doi:10.48550/arxiv.2408.09563
We study a certain family of discrete measures with unit masses on a horizontal strip as an analogue of Fourier quasicrystals on the real line. We prove a one-to-one correspondence between supports of measures from this family and zero sets of exponential polynomials with imaginary frequencies. This result is the special case of a general result on measures whose supports correspond to zero sets of absolutely convergent Dirichlet series with bounded spectrum.