Holomorphic almost periodic functions in tube domains and their amoebas
Complex Variables
2007-05-23 v1 Classical Analysis and ODEs
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.
Cite
@article{arxiv.math/0701807,
title = {Holomorphic almost periodic functions in tube domains and their amoebas},
author = {S. Favorov},
journal= {arXiv preprint arXiv:math/0701807},
year = {2007}
}