Geometric Function Theory in One and Higher Dimensions
Ian Graham, Gabriela Kohr
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 Carath\'eodory 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.
Kategorije:
Godina:
2003
Izdanje:
1
Izdavač:
Marcel Dekker
Jezik:
english
Strane:
552
ISBN 10:
0824748247
ISBN 13:
9780824748241
Serije:
Monographs and textbooks in pure and applied mathematics 255
Fajl:
DJVU, 2.83 MB
IPFS:
,
english, 2003
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