Geometric Function Theory in One and Higher Dimensions

1. Auflage 2003
ISBN: 978-0-8247-0976-1
Verlag: CRC Press

Buch, Englisch, 560 Seiten, Format (B × H): 161 mm x 238 mm, Gewicht: 862 g

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.

Zielgruppe

Professional Practice & Development

Autoren/Hrsg.

Graham, Ian

Kohr, Gabriela

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Elementare Geometrie: Allgemeines
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Mathematik | Informatik Mathematik Mathematische Analysis Reelle Analysis
• Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik

Inhaltsverzeichnis

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

Über Autor(innen)

Graham, Ian; Kohr, Gabriela