Holomorphic Mappings

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

Chapter Chapter 7 in Lectures on Several Complex Variables, 2014, pp 31-37 from Springer

Abstract: Abstract The theory of smooth mappings of several real variables will help us to develop a similar theory for smooth (holomorphic) mappings of several complex variables. As in the real case, the main features are the inverse function theorem and the implicit function theorem.

Keywords: Nonconstant Holomorphic Functions; Rank Theorem; Proper Holomorphic Mappings; Holomorphic Version; Biholomorphic Mapping (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/978-3-319-11511-5_7

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