Geometric Function Theory in One and Higher Dimensions / Edition 1

by Ian Graham, Gabriela Kohr

Overview

This reference details valuable results that lead to improvements in existence theorems for the Loewner differential equation in higher dimensions, discusses the compactness of the analog of the Caratheodory class in several variables, and studies various classes of univalent mappings according to their geometrical definitions. It introduces the infinite-dimensional theory and provides numerous exercises in each chapter for further study. The authors present such topics as linear invariance in the unit disc, Bloch functions and the Bloch constant, and growth, covering and distortion results for starlike and convex mappings in Cn and complex Banach spaces.

Product Details

ISBN-13:	9780367395339
Publisher:	Taylor & Francis
Publication date:	09/05/2019
Series:	Pure and Applied Mathematics (M. Dekker) , #255
Pages:	560
Product dimensions:	6.00(w) x 9.00(h) x (d)

About the Author

Graham, Ian; Kohr, Gabriela

Table of Contents

Preface, Introduction, Part I Univalent functions, Part II Univalent mappings in several complex variables and complex Banach spaces, Bibliography, List of Symbols, Index