Overview
Part of the book series: NATO Science Series II: Mathematics, Physics and Chemistry (NAII, volume 37)
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Table of contents (9 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
Editors and Affiliations
Bibliographic Information
Book Title: Approximation, Complex Analysis, and Potential Theory
Editors: N. Arakelian, P. M. Gauthier, G. Sabidussi
Series Title: NATO Science Series II: Mathematics, Physics and Chemistry
DOI: https://doi.org/10.1007/978-94-010-0979-9
Publisher: Springer Dordrecht
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media Dordrecht 2001
Hardcover ISBN: 978-1-4020-0028-7Published: 30 September 2001
Softcover ISBN: 978-1-4020-0029-4Published: 30 September 2001
eBook ISBN: 978-94-010-0979-9Published: 06 December 2012
Series ISSN: 1568-2609
Edition Number: 1
Number of Pages: XIX, 264
Topics: Computational Mathematics and Numerical Analysis, Fluid- and Aerodynamics, Partial Differential Equations, Applications of Mathematics