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商品詳細
Condenser Capacities and Symmetrization in Geometric Function Theory.
・ISBN 978-3-0348-0842-2 hard EUR 99.99
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| 著者・編者 | Dubinin, Vladimir N., |
|---|---|
| 出版社 | (Springer Basel, SZ) |
| 出版年月 | 2014 |
| ページ数 | 344 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-22283＞ |
解説
This is the first systematic presentation of the capacitory approach and symmetrization in the context of complex analysis. The content of the book is original - the main part has not been covered by existing textbooks and monographs. After an introduction to the theory of condenser capacities in the plane, the monotonicity of the capacity under various special transformations (polarization, Gonchar transformation, averaging transformations and others) is established, followed by various types of symmetrization which are one of the main objects of the book. By using symmetrization principles, some metric properties of compact sets are obtained and some extremal decomposition problems are solved. Moreover, the classical and present facts for univalent and multivalent meromorphic functions are proven.
This book will be a valuable source for current and future researchers in various branches of complex analysis and potential theory.