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Meromorphic almost periodic functions

S. Favorov·N. Parfyonova
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Abstract

We study meromorphic functions in a strip almost periodic with respect to the spherical metric. Then we get a complete description of zeros and poles for this class of functions, find a condition for a meromorphic almost periodic function to be a quotient of two holomorphic almost periodic function, find a necessary and suficient condition for sum and product of almost periodic meromorphic functions to be almost periodic.

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S. Favorov, N. Parfyonova. 2007-01-28. Meromorphic almost periodic functions. https://arxiv.org/abs/math/0701822

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