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Geometric Theory of Functions of a Complex Variable

About this Title

G. M. Goluzin. Translated by Scripta Technica

Publication: Translations of Mathematical Monographs
Publication Year: 1969; Volume 26
ISBNs: 978-0-8218-1576-2 (print); 978-1-4704-4443-3 (online)
DOI: https://doi.org/10.1090/mmono/026
MathSciNet review: MR0247039
MSC: Primary 30.00

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Table of Contents

Front/Back Matter

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Chapters

• A note on the author
• Preface to the second edition
• Preface (to the first edition)
• Introductory geometric considerations
• The convergence of sequences of analytic and harmonic functions
• The principles of conformal mapping of simply connected domains
• Realization of conformal mapping of simply connected domains
• Extremal questions and inequalities holding in classes of univalent functions
• Univalent conformal mapping of multiply connected domains
• Mapping of multiply connected domains onto a disk
• The measure properties of closed sets in the plane
• Majorization principles and their applications
• Boundary value problems for analytic functions defined on a disk
• Boundary questions for functions that are analytic inside a rectifiable contour
• Some supplementary information

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