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Geometric Function Theory in One and Higher Dimensions (Pure and Applied Mathematics (M. Dekker)) - Softcover
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 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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Geometric Function Theory in One and Higher Dimensions
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Geometric Function Theory in One and Higher Dimensions (Pure and Applied Mathematics (M. Dekker))
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Geometric Function Theory in One and Higher Dimensions
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ISBN 10: 0367395339
ISBN 13: 9780367395339
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Geometric Function Theory in One and Higher Dimensions
Published by
Taylor & Francis Ltd, 2019
ISBN 10: 0367395339
ISBN 13: 9780367395339
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Paperback / softback
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 560 pp. Englisch. Seller Inventory # 9780367395339
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