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On generalized tube domains over C^n
Mid Sweden University, Faculty of Science, Technology and Media, Department of Natural Sciences.
Responsible organisation
2005 (English)In: Complex Variables, Theory & Application, ISSN 0278-1077, Vol. 50, no 1, 1-5 p.Article in journal (Refereed) Published
Abstract [en]

If j : Xj !Rn, j ¼ 1, 2, are domains over Rn, then ¼ X1 X2 carries a canonical structure of a generalized tube domain over Cn. In response to a question of Jarnicki and Pflug (M. Jarnicki and P. Pflug (2000). Extension of Holomorphic Functions, Springer-Verlag), we show that is one-sheeted and equivalent to a product of convex domains, if it is pseudoconvex.

Place, publisher, year, edition, pages
2005. Vol. 50, no 1, 1-5 p.
Keyword [en]
envelopes of holomorphy, pseudoconvexity, Riemann domains
National Category
Mathematics
Identifiers
URN: urn:nbn:se:miun:diva-4352DOI: 10.1080/02181070412331329395Local ID: 5245OAI: oai:DiVA.org:miun-4352DiVA: diva2:29384
Available from: 2008-09-30 Created: 2009-01-07 Last updated: 2009-06-08Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
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