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Holomorphic almost periodic functions in tube domains and their amoebas

S. Favorov

math.CVarXiv:math/0701807

Abstract

We extend the notion of amoeba to holomorphic almost periodic functions in tube domains. In this setting, the order of a function in a connected component of the complement to its amoeba is just the mean motion of this function. We also find a correlation between the orders in different components.

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