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Approximation, Complex Analysis, and Potential Theory : NATO Science Series II - Gert Sabidussi

Approximation, Complex Analysis, and Potential Theory

NATO Science Series II

By: Gert Sabidussi (Adapted By), Norair Arakelian (Editor), Paul M. Gauthier (Editor)


Published: 30th September 2001
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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.

Key to group picture
Approximation and value distributionp. 1
Uniform nd tangential harmonic approximationp. 29
Sobolev spaces and approximation problems for differential operatorsp. 73
Holomorphic and harmonic approximation on Riemann surfacesp. 107
On the Bloch constantp. 129
Approximation of subharmonic functions with applicationsp. 163
Harmonic approximation and its applicationsp. 191
Jensen measuresp. 221
Simultaneous approximation in function spacesp. 239
Indexp. 263
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9781402000287
ISBN-10: 1402000286
Series: NATO Science Series II
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 264
Published: 30th September 2001
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 23.5 x 15.5  x 1.7
Weight (kg): 1.29