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                                       Details for article 10 of 33 found articles
 
 
  Bochner transforms, perturbations and amoebae of holomorphic almost periodic mappings in tube domains
 
 
Title: Bochner transforms, perturbations and amoebae of holomorphic almost periodic mappings in tube domains
Author: Fabiano, Adelina
Guenot, Jacques
Silipo, James
Appeared in: Complex variables and elliptic equations
Paging: Volume 52 (2007) nr. 8 pages 709-739
Year: 2007-08
Contents: We give an alternative representation of the closure of the Bochner transform of a holomorphic almost periodic mapping in a tube domain. For such mappings we introduce a new notion of amoeba and we show that, for mappings which are regular in the sense of Ronkin, this new notion agrees with Favorov's one. We prove that the amoeba complement of a regular holomorphic almost periodic mapping, defined on n and taking its values in  m+1, is a Henriques m-convex subset of n. Finally, we compare some different notions of regularity.
Publisher: Taylor & Francis
Source file: Elektronische Wetenschappelijke Tijdschriften
 
 

                             Details for article 10 of 33 found articles
 
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