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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
Table of Contents
Front/Back Matter
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