Topics in Complex Analysis

Paperback | November 15, 1996

byMats Andersson

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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.

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From Our Editors

This book provides a concise treatment of topics in complex analysis, suitable for a one-semester course. It is an outgrowth of lectures given by the author over the last ten years at the University of Goteborg and Chalmers University of Technology. While treating classical complex function theory, the author emphasizes connections to ...

From the Publisher

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 ma...

Format:PaperbackDimensions:165 pages, 9.25 × 6.1 × 0 inPublished:November 15, 1996Publisher:Springer

The following ISBNs are associated with this title:

ISBN - 10:038794754X

ISBN - 13:9780387947549

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Table of Contents

Contents: Some basic properties of analytic functions.- Properties of analytic mapping.- Approximation and continuation.- Harmonic and subharmonic functions.- Zeros, Growth and value distribution.- Harmonic functions and Fourier series.- Hp Spaces.- Ideals and the Corona theorem.- H1 and BMO.

From Our Editors

This book provides a concise treatment of topics in complex analysis, suitable for a one-semester course. It is an outgrowth of lectures given by the author over the last ten years at the University of Goteborg and Chalmers University of Technology. While treating classical complex function theory, the author emphasizes connections to real and harmonic analysis, and presents general tools that might be useful in other areas of analysis. The book introduces all of the basic ideas in beginning complex analysis and still has time to reach many topics near the frontier of the subject. The reader is expected to have an understanding of basic integration theory and functional analysis. Many exercises illustrate and sharpen the theory, and extended exercises give the reader an active part in complementing the material presented in the text.