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Geometric Function Theory in One and Higher Dimensions.
・ISBN 978-0-8247-0976-1 hard GB£ 210.00
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電子版あり 大学・学術機関向け電子ブック(eBook)ISBN 978-0-429-21373-1
| 著者・編者 | Graham, Ian / Kohr, Gabriela, |
|---|---|
| 出版社 | (CRC Press Inc, US) |
| 出版年月 | 2003 |
| ページ数 | 560 pp. |
| 言語 | ENG |
| ニュース番号 | <M25-501> |
解説
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.