Holomorphic Continuation

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

Chapter Chapter 13 in Lectures on Several Complex Variables, 2014, pp 77-83 from Springer

Abstract: Abstract In one variable, the problem of holomorphic continuation leading to multi-valued functions gave rise to the concept of a Riemann surface, on which these ambiguous functions become well defined. A similar line of thought in several variables leads to the notion of a Riemann domain.

Keywords: Riemann Surface; Holomorphic Function; Complex Variable; Complex Manifold; Convex Domain (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/978-3-319-11511-5_13

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