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
Reviews for Geometric Function Theory in One and Higher Dimensions
presents a unique overview. ---Extract de L' Enseignement Mathematique