Geometric Function Theory in One and Higher Dimensions
Book Details
Format
Hardback or Cased Book
ISBN-10
0824709764
ISBN-13
9780824709761
Publisher
Taylor & Francis Inc
Imprint
CRC Press Inc
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Mar 18th, 2003
Print length
560 Pages
Weight
862 grams
Product Classification:
Functional analysis & transforms
Ksh 34,200.00
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Details results that lead to improvements in existence theorems for the Loewner differential equation in higher dimensions. This work discusses the compactness of the analog of the Caratheodory class in several variables. It presents such topics as linear invariance in the unit disc, Bloch functions and the Bloch constant, and growth.
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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