Holomorphic functions of several variables: an introduction to the fundamental theory
By: Kaup, Ludger
| Kaup, Burchard
Contributor(s): Bridgland, Michael Tr
Language: English Series: De Gruyter Studies in Mathematics Vol.3Publisher: Berlin Walter De Gruyter c1983Description: xiii, 349p.; 23cmISBN: 9783110041507Subject(s): Mathematics -- Analysis

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Table of Contents:
Part One: Function Theory on Domains in ℂn
Chapter 0. Elementary Properties of Holomorphic Functions
Chapter 1 Regions of Ηolomorphy
Part Two: Function Theory on Analytic Sets
Chapter 2 The Weierstrass Preparation Theorem and its Applications
Chapter 3 Complex Manifolds and the Elementary Theory of Complex Spaces
Chapter 4 Complex Spaces
Part Three: Function Theory on Stein Spaces
Chapter 5 Applications of Theorem Β
Chapter 6 Proof of Theorem Β
Supplement: Chapter 7 Normal Complex Spaces
The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level.