OKA′S EXTRA ZERO PROBLEM AND APPLICATION

OKA′S EXTRA ZERO PROBLEM AND APPLICATION

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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Veröffentlicht in:Kyushu Journal of Mathematics 2007, Vol.61(1), pp.155-167
1. Verfasser: HAMANO, Sachiko
Format: Artikel
Sprache:eng
Schlagworte:
Cousin problems
cylindrical domain
extra zero problem
intersection number
zero sets of holomorphic functions
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Zusammenfassung: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.
ISSN:1340-6116
1883-2032
DOI:10.2206/kyushujm.61.155