Kyushu Journal of Mathematics
Online ISSN : 1883-2032
Print ISSN : 1340-6116
ISSN-L : 1340-6116
OKA′S EXTRA ZERO PROBLEM AND APPLICATION
Sachiko HAMANO
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Keywords: Cousin problems, extra zero problem, intersection number, zero sets of holomorphic functions, cylindrical domain
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2007 Volume 61 Issue 1 Pages 155-167

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Abstract

We solve the extra zero problem in cylindrical domains in Cn. We apply it to study domains of holomorphy in Cn which are not rationally convex. This result generalizes Oka′s results.

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© 2007 by Faculty of Mathematics, Kyushu University
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