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Approximation, Complex Analysis, and Potential Theory

Name: Approximation, Complex Analysis, and Potential Theory
Brand: Springer-Verlag New York Inc.
SKU: 01414442
Price: 107.29 EUR
Availability: InStock
Author: Norair Arakelian
ISBN: 9781402000294

Norair Arakelian

Paul M. Gauthier

Gert Sabidussi

Langue

Anglais

Livre Livre de poche

Code Libristo: 01414442

Éditeurs Springer-Verlag New York Inc., septembre 2001

Hermann Weyl considered value distribution theory to be the greatest mathematical achievement of the... Description détaillée

Code Libristo: 01414442

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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.