Zero Sets of Holomorphic Functions

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

Chapter Chapter 6 in Lectures on Several Complex Variables, 2014, pp 25-29 from Springer

Abstract: Abstract Zeros of holomorphic functions of several variables have a much richer structure than those of a single variable. Fundamental concepts from algebra enter the scene and lead up to the Weierstrass preparation theorem, which is the best instrument for understanding the local nature of the set of zeros of a holomorphic function.

Keywords: Holomorphic Function; Zero Set; Weierstrass Preparation Theorem; Single Variable; Nonconstant Complex Polynomial (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/978-3-319-11511-5_6

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