UID:
almafu_9958100691702883
Umfang:
1 online resource (547 p.)
ISBN:
1-281-03432-0
,
9786611034320
,
0-08-053281-0
Serie:
Handbook of complex analysis
Inhalt:
Geometric Function Theory is a central part of Complex Analysis (one complex variable). The Handbook of Complex Analysis - Geometric Function Theory deals with this field and its many ramifications and relations to other areas of mathematics and physics. The theory of conformal and quasiconformal mappings plays a central role in this Handbook, for example a priori-estimates for these mappings which arise from solving extremal problems, and constructive methods are considered. As a new field the theory of circle packings which goes back to P. Koebe is included. The Handbook should be useful for
Anmerkung:
Description based upon print version of record.
,
Cover; Contents; Preface; List of Contributors; Chapter 1. Univalent and multivalent functions; Chapter 2. Conformal maps at the boundary; Chapter 3. Extremal quasiconformal mappings of the disk; Chapter 4. Conformal welding; Chapter 5. Area distortion of quasiconformal mappings; Chapter 6. Siegel disks and geometric function theory in the work of Yoccoz; Chapter 7. Sufficient conditions for univalence and quasiconformal extendibility of analytic functions; Chapter 8. Bounded univalent functions; Chapter 9. The *-function in complex analysis
,
Chapter 10. Logarithmic geometry, exponentiation, and coefficient bounds in the theory of univalent functions and nonoverlapping domainsChapter 11. Circle packing and discrete analytic function theory; Chapter 12. Extreme points and support points; Chapter 13. The method of the extremal metric; Chapter 14. Universal Teichmüller space; Chapter 15. Application of conformal and quasiconformal mappings and their properties in approximation theory; Author Index; Subject Index
,
English
Weitere Ausg.:
ISBN 0-444-82845-1
Sprache:
Englisch
