Holomorphic almost periodic functions in tube domains and their amoebas
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🧮 math.CV
math.CA
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almostamoebadomainsfunctionfunctionsholomorphicperiodictube
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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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