Periodicity of almost periodic zero sets and almost periodic functions
Complex Variables
2015-03-03 v1
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.
Keywords
Cite
@article{arxiv.1503.00175,
title = {Periodicity of almost periodic zero sets and almost periodic functions},
author = {Sergii Yu. Favorov},
journal= {arXiv preprint arXiv:1503.00175},
year = {2015}
}
Comments
7 pages, 8 references