Kaup, Ludger Kaup, Burchard

Holomorphic functions of several variables: an introduction to the fundamental theory - Berlin Walter De Gruyter c1983 - xiii, 349p.; 23cm. - De Gruyter Studies in Mathematics Vol.3 .

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.

9783110041507


Mathematics--Analysis
Functions of complex variables

515.98 KAU/H