Topics in Complex Analysis

by Andersson, Mats

• ISBN13: 9780387947549
• ISBN10: 038794754X
• Format: Paperback
• Copyright: 1996-08-01
• Publisher: Springer Verlag

Summary

This book is an outgrowth of lectures given at several occasions at the University of Göteborg and Chalmers University of Technology during the last ten years. Contrary to most introductory texts on complex analysis, it preassumes knowledge of basic analysis. This makes it possible to move rather quickly through the most fundamental material and to reach within a one-semester course some classical highlights such as Fatou theorems and some Nevanlinna theory, as well as more recent topics, for example the corona theorem and the H1-BMO duality.

Table of Contents

Preface
Preliminaries	p. 1
Some Basic Properties of Analytic Functions	p. 5
Properties of Analytic Mappings	p. 28
Analytic Approximation and Continuation	p. 46
Harmonic and Subharmonic Functions	p. 67
Zeros, Growth, and Value Distribution	p. 82
Harmonic Functions and Fourier Series	p. 97
H[superscript P] Spaces	p. 112
Ideals and the Corona Theorem	p. 130
H[superscript 1] and BMO	p. 141
Bibliography	p. 151
List of Symbols	p. 153
Index	p. 155
Table of Contents provided by Blackwell. All Rights Reserved.