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Geometric Function Theory in One and Higher Dimensions

Geometric Function Theory in One and Higher Dimensions

Paperback

Series: Pure and Applied Mathematics (M. Dekker), Book 255

Medical ReferenceCalculusGeneral Mathematics

ISBN10: 0367395339
ISBN13: 9780367395339
Publisher: Crc Pr Inc
Published: Sep 5 2019
Pages: 560
Weight: 1.55
Height: 1.20 Width: 6.00 Depth: 9.00
Language: English
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 Carath\'eodory 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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