nach der Bestellung gedruckt Neuware - Printed after ordering - 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.

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Bibliographic Details

Title: Geometric Function Theory in One and Higher Dimensions
Publisher: CRC Press
Publication Date: 2019
Language: English
ISBN 10: 0367395339
ISBN 13: 9780367395339
Binding: Taschenbuch
Condition: Neu
Dimensions: 229 millimeters width by 152 millimeters height by 30 millimeters depth
Weight: 801 grams

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Synopsis

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.

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Graham, Ian; Kohr, Gabriela

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