Holomorphic almost periodic functions in tube domains and their amoebas

Details Holomorphic almost periodic functions in tube domains and their amoebas Holomorphic almost periodic functions in tube domains and their amoebas

2007-01-29

arxiv.org/abs/math/0701807v1

Computational Methods and Function Theory,v.1 (2001), No.2, 403-415

Mathematics

Complex Variables

Scientific paper

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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