Basics

Paul M. Gauthier
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Paul M. Gauthier: Université de Montréal, Départment de Mathématiques et de Statistique

Chapter Chapter 2 in Lectures on Several Complex Variables, 2014, pp 3-7 from Springer

Abstract: Abstract Two striking theorems of Hartogs, which have no counterpart in a single variable, are introduced: the Hartogs theorem on separate holomorphy and the Hartogs phenomenon on the possibility of extending holomorphic functions.

Keywords: Hartogs Phenomenon; Striking Theorem; Holomorphic Function; Riemann Mapping Theorem; Nonempty Component (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/978-3-319-11511-5_2

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