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portada Geometric Function Theory in one and Higher Dimensions (Pure and Applied Mathematics (m. Dekker))
Type
Physical Book
Publisher
Author
Language
English
Pages
560
Format
Paperback
ISBN13
9780367395339
Edition No.
1

Geometric Function Theory in one and Higher Dimensions (Pure and Applied Mathematics (m. Dekker))

Ian Graham; Gabriela Kohr (Author) · Crc Press · Paperback

Geometric Function Theory in one and Higher Dimensions (Pure and Applied Mathematics (m. Dekker)) - Ian Graham; Gabriela Kohr

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Synopsis "Geometric Function Theory in one and Higher Dimensions (Pure and Applied Mathematics (m. Dekker)) "

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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