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Holomorphic Almost Periodic Functions in Tube Domains and Their Amoebas

Holomorphic Almost Periodic Functions in Tube Domains and Their Amoebas 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational Methods and Function Theory Springer Journals

Holomorphic Almost Periodic Functions in Tube Domains and Their Amoebas

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Publisher
Springer Journals
Copyright
Copyright © 2001 by Heldermann Verlag
Subject
Mathematics; Analysis; Computational Mathematics and Numerical Analysis; Functions of a Complex Variable
ISSN
1617-9447
eISSN
2195-3724
DOI
10.1007/BF03320999
Publisher site
See Article on Publisher Site

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 of its amoeba is just the mean motion of this function. We also find a correlation between the orders in different components.

Journal

Computational Methods and Function TheorySpringer Journals

Published: Mar 7, 2013

References