Glenn Schober • Univalent Functions - Selected Topics

Glenn Schober • Univalent Functions - Selected Topics

Table of Contents
Functions with positive real part - pages 1-5
Special classes: convex, starlike, real, typically real, close-to-convex, bounded boundary rotation - pages 6-26
The Pólya-Schoenberg conjecture - pages 27-33
Representation of continuous linear functionals - pages 34-38
Faber polynomials - pages 39-47
Extremal length and equicontinuity - pages 48-56
Compact families F(D,l1,l2,P,Q) of univalent functions normalized by two linear functionals - pages 57-64
Properties of extreme points for some compact families F(D,l1,l2,P,Q) - pages 65-78
Elementary variational methods - pages 79-91
Application of Schiffer’s boundary variation to linear problems - pages 92-111
Application to some nonlinear problems - pages 112-127
Some properties of quasiconformal mappings - pages 128-137
A variational method for q.c. mappings - pages 138-146
Application to families of conformal and q.c. mappings - pages 147-167
Sufficient conditions for q.c. extensions - pages 168-171

Springer, Lecture Notes in Mathematics - Volume 478, Paperback, english, 200 pages, makuliertes Bibliotheksexemplar - former library copy