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arXiv · 2408.09563

Analogues of Fourier quasicrystals for a strip

Sergii Favorov
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Abstract

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.

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Sergii Favorov. 2024-08-18. Analogues of Fourier quasicrystals for a strip. https://arxiv.org/abs/2408.09563

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