Approximation, Complex Analysis, and Potential Theory

By: Norair Arakelian, Paul M. Gauthier, Gert Sabidussi

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Hardcover | 30 September 2001

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288 Pages

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23.39 x 15.6 x 1.75

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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.

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You Can Find This Book In

Non-Fiction Mathematics Calculus & Mathematical Analysis Functional Analysis & Transforms Complex Analysis Differential Calculus & Equations Numerical Analysis Applied Mathematics Algebra Science Physics Classical Mathematics

Fluid Mechanics

Preface
Key to group picture
Participants
Contributors
Approximation and value distribution	p. 1
Uniform nd tangential harmonic approximation	p. 29
Sobolev spaces and approximation problems for differential operators	p. 73
Holomorphic and harmonic approximation on Riemann surfaces	p. 107
On the Bloch constant	p. 129
Approximation of subharmonic functions with applications	p. 163
Harmonic approximation and its applications	p. 191
Jensen measures	p. 221
Simultaneous approximation in function spaces	p. 239
Index	p. 263
Table of Contents provided by Blackwell. All Rights Reserved.

Approximation, Complex Analysis, and Potential Theory

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Hardcover

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