Proceedings of the Nato Advanced Study Institute on Modern Methods in Scientific Computing and Applications, Montreal, Quebec, Canada, from 3 to 14 July 2000 Editor(s): Arakelian, Norair (Institute of Mathematics, National Academy of Sciences of Armenia, Yerevan, Armenia); Gauthier, Paul M.; Sabidussi, Gert. Series: NATO Science Series II. Num Pages: 264 pages, biography. BIC Classification: PBKS. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 235 x 155 x 17. Weight in Grams: 581. . 2001. Hardback. . . . .

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Bibliographic Details

Title: Approximation, Complex Analysis, and Potential Theory
Publisher: Kluwer Academic Publishers
Publication Date: 2001
Language: English
ISBN 10: 1402000286
ISBN 13: 9781402000287
Binding: Hardcover
Condition: New

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Synopsis

Hermann Weyl considered value distribution theory to be the greatest mathematical achievement of the first half of the 20th century. The present lectures show that this beautiful theory is still growing. An important tool is complex approximation and some of the lectures are devoted to this topic. Harmonic approximation started to flourish astonishingly rapidly towards the end of the 20th century, and the latest development, including approximation manifolds, are presented here.

Since de Branges confirmed the Bieberbach conjecture, the primary problem in geometric function theory is to find the precise value of the Bloch constant. After more than half a century without progress, a breakthrough was recently achieved and is presented. Other topics are also presented, including Jensen measures.

A valuable introduction to currently active areas of complex analysis and potential theory. Can be read with profit by both students of analysis and research mathematicians.

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