Computational Methods and Function Theory 1 (2001), No. 2, 403--415
Copyright Heldermann Verlag 2001
Sergeij Yu. Favorov
favorov@ilt.kharkov.ua, Department of Mechanics and Mathematics, Kharkiv National University, md. Svobody 4, Kharkiv 61077, Ukraine.
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 of its amoeba is just the mean motion of this function. We also find a correlation between the orders in different components.
Keywords: Almost periodic function, amoeba, zero set, mean motion, exponential sum.
MSC 2000: Primary 42A75; Secondary 32A60, 32A18.
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