3 papers
math.FA2026
Some properties of Fourier quasicrystals and measures on a strip
Sergii Favorov, Özkan Deǧer
We extend certain results of the theory of Fourier quasicrystals on the real line to the case of a horizontal strip of finite width. For measures in a strip we use a natural genera…
math.CA2025
Application of methods of quasicrystals theory to entire functions of exponential growth
Sergii Yu. Favorov
Let be an entire almost periodic function with zeros in a horizontal strip of finite width; for example, any exponential polynomial with purely imaginary exponents is such a fu…
math.CV2024
Application of Meyer's theorem on quasicrystals to exponential polynomials and Dirichlet series
Sergii Favorov
A simple necessary and sufficient condition is given for an absolutely convergent Dirichlet series with imaginary exponents and only real zeros to be a finite product of sines. The…