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✦   LIBER   ✦

Geometric Function Theory in One and Higher Dimensions

✍ Scribed by Ian Graham, Gabriela Kohr

Book ID
127419275
Publisher
Marcel Dekker
Year
2003
Tongue
English
Weight
4 MB
Series
Monographs and textbooks in pure and applied mathematics 255
Edition
1
Category
Library
City
New York
ISBN
0824748247

No coin nor oath required. For personal study only.

✦ 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 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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