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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 2010 (2010), Article ID 648597, 18 pages
doi:10.1155/2010/648597

Normed domains of holomorphy

Steven G. Krantz

Department of Mathematics, Washington University in St. Louis, St. Louis, MI 63130, USA

Abstract

We treat the classical concept of domain of holomorphy in ℂn when the holomorphic functions considered are restricted to lie in some Banach space. Positive and negative results are presented. A new view of the case n=1 is considered.