Titolo: Geometric Function Theory in One and Higher Dimensions (Pure and Applied Mathematics (M. Dekker))
Editore: CRC Press
Data di pubblicazione: 2003
Lingua: Inglese
ISBN 10: 0824709764
ISBN 13: 9780824709761
Rilegatura: Rilegato
Condizione: New

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Riassunto

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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Graham, Ian; Kohr, Gabriela

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