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Science/Engineering Geometric Function Theory in One and Higher Dimensions

Posted on 2010-03-15




Name:Science/Engineering Geometric Function Theory in One and Higher Dimensions
ASIN/ISBN:0824709764
Language:English
File size:16.6 Mb
Publisher: CRC
Pages: 528
ISBN: 0824709764
File Type: PDF
File Size: 16.6 MB
   Science/Engineering Geometric Function Theory in One and Higher Dimensions

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Ian Graham, Gabriela Kohr, "Geometric Function Theory in One and Higher Dimensions (Pure and Applied Mathematics, Vol 255) (Pure and Applied Mathematics)"

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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