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Introduction to Complex Analysis in Several Variables

  • Volker Scheidemann

Table of contents

About this book

Introduction

This book gives a comprehensive introduction to complex analysis in several variables. It clearly focusses on special topics in complex analysis rather than trying to encompass as much material as possible. Many cross-references to other parts of mathematics, such as functional analysis or algebras, are pointed out in order to broaden the view and the understanding of the chosen topics. A major focus is extension phenomena alien to the one-dimensional theory, which are expressed in the famous Hartog's Kugelsatz, the theorem of Cartan-Thullen, and Bochner's theorem.

The book primarily aims at students starting to work in the field of complex analysis in several variables and teachers who want to prepare a course. To that end, a lot of examples and supporting exercises are inserted throughout the text, which will help students to become acquainted with the subject.

Keywords

Biholomorphic maps Cartan-Thullen theory Complex analysis Complex variables Holomorphic functions Kugelsatz

Authors and affiliations

  • Volker Scheidemann
    • 1
  1. 1.MarburgGermany

Bibliographic information