Periodicity of almost periodic zero sets and almost periodic functions

Published 28 Feb 2015 in math.CV | (1503.00175v1)

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

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