Geometric Function Theory in One and Higher Dimensions

Ian Graham, Gabriela Kohr

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Hardback

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CRC Press Inc
18 March 2003

Functional analysis & transforms; Differential calculus & equations; Analytic geometry

This reference details valuable results that lead to improvements in existence theorems for the Loewner differential equation in higher dimensions. It introduces the infinite-dimensional theory and provides numerous exercises in each chapter for further study.

By: Ian Graham, Gabriela Kohr
Imprint: CRC Press Inc
Country of Publication: United States
Volume: 255
Dimensions: Height: 229mm, Width: 152mm, Spine: 31mm
Weight: 862g
ISBN: 9780824709761
ISBN 10: 0824709764
Pages: 560
Publication Date: 18 March 2003
Audience: College/higher education , Professional and scholarly , Professional & Vocational , Primary , Further / Higher Education
Format: Hardback
Publisher's Status: Active

Univalent functions: elementary properties of univalent functions; subclasses of univalent functions in the unit disc; the Loewner theory; Bloch functions and the Bloch constant; linear invariance in the unit disc; univalent mappings in several complex variables and complex Banach spaces; univalence in several complex variables; growth, covering and distortion results for starlike and convex mappings in Cn and complex Banach spaces; Loewner chains in several complex variables; Bloch constant problems in several complex variables; linear invariance in several complex variables; univalent mappings and the Roper-Suffridge extension operator.

Graham, Ian; Kohr, Gabriela