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arXiv · 1503.00175

Periodicity of almost periodic zero sets and almost periodic functions

Sergii Yu. Favorov
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Abstract

Whenever all differences between zeros of two holomorphic almost periodic functions in a strip form a discrete set, then both functions are infinite products of periodic functions with commensurable periods. In particular, the result is valid for some classes of Dirichlet series.

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Sergii Yu. Favorov. 2015-02-28. Periodicity of almost periodic zero sets and almost periodic functions. https://arxiv.org/abs/1503.00175

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