Complex Analysis And Potential Theory
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Author | : Norair Arakelian |
Publisher | : Springer Science & Business Media |
Total Pages | : 275 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9401009791 |
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.
Author | : Andre Boivin |
Publisher | : American Mathematical Soc. |
Total Pages | : 347 |
Release | : 2012 |
Genre | : Mathematics |
ISBN | : 0821891731 |
This is the proceedings volume of an international conference entitled Complex Analysis and Potential Theory, which was held to honor the important contributions of two influential analysts, Kohur N. GowriSankaran and Paul M. Gauthier, in June 2011 at the Centre de Recherches Mathematiques (CRM) in Montreal. More than fifty mathematicians from fifteen countries participated in the conference. The twenty-four surveys and research articles contained in this book are based on the lectures given by some of the most established specialists in the fields. They reflect the wide breadth of research interests of the two honorees: from potential theory on trees to approximation on Riemann surfaces, from universality to inner and outer functions and the disc algebra, from branching processes to harmonic extension and capacities, from harmonic mappings and the Harnack principle to integration formulae in $\mathbb {C}^n$ and the Hartogs phenomenon, from fine harmonicity and plurisubharmonic functions to the binomial identity and the Riemann hypothesis, and more. This volume will be a valuable resource for specialists, young researchers, and graduate students from both fields, complex analysis and potential theory. It will foster further cooperation and the exchange of ideas and techniques to find new research perspectives.
Author | : Tahir Aliyev Azero?lu |
Publisher | : World Scientific |
Total Pages | : 301 |
Release | : 2007 |
Genre | : Science |
ISBN | : 9812705988 |
This volume gathers the contributions from outstanding mathematicians, such as Samuel Krushkal, Reiner Khnau, Chung Chun Yang, Vladimir Miklyukov and others.It will help researchers to solve problems on complex analysis and potential theory and discuss various applications in engineering. The contributions also update the reader on recent developments in the field. Moreover, a special part of the volume is completely devoted to the formulation of some important open problems and interesting conjectures.
Author | : Thomas Ransford |
Publisher | : Cambridge University Press |
Total Pages | : 246 |
Release | : 1995-03-16 |
Genre | : Mathematics |
ISBN | : 9780521466547 |
Potential theory is the broad area of mathematical analysis encompassing such topics as harmonic and subharmonic functions.
Author | : Steven R. Bell |
Publisher | : CRC Press |
Total Pages | : 221 |
Release | : 2015-11-04 |
Genre | : Mathematics |
ISBN | : 1498727212 |
The Cauchy Transform, Potential Theory and Conformal Mapping explores the most central result in all of classical function theory, the Cauchy integral formula, in a new and novel way based on an advance made by Kerzman and Stein in 1976.The book provides a fast track to understanding the Riemann Mapping Theorem. The Dirichlet and Neumann problems f
Author | : |
Publisher | : |
Total Pages | : 148 |
Release | : 2014 |
Genre | : |
ISBN | : |
Author | : T Aliyev Azeroglu |
Publisher | : World Scientific |
Total Pages | : 301 |
Release | : 2007-08-13 |
Genre | : Mathematics |
ISBN | : 9814475718 |
This volume gathers the contributions from outstanding mathematicians, such as Samuel Krushkal, Reiner Kühnau, Chung Chun Yang, Vladimir Miklyukov and others.It will help researchers to solve problems on complex analysis and potential theory and discuss various applications in engineering. The contributions also update the reader on recent developments in the field. Moreover, a special part of the volume is completely devoted to the formulation of some important open problems and interesting conjectures.
Author | : Paul M. Gauthier |
Publisher | : Springer Science & Business Media |
Total Pages | : 565 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9401109346 |
Proceedings of the NATO Advanced Study Institute and Séminaire de mathématiques supérieures, Montréal, Canada, July 26--August 6, 1993
Author | : S. V. Rogosin |
Publisher | : |
Total Pages | : |
Release | : 2014 |
Genre | : |
ISBN | : 9781908106407 |
Author | : Shiing-shen Chern |
Publisher | : Springer Science & Business Media |
Total Pages | : 158 |
Release | : 2013-06-29 |
Genre | : Mathematics |
ISBN | : 1468493442 |
From the reviews of the second edition: "The new methods of complex manifold theory are very useful tools for investigations in algebraic geometry, complex function theory, differential operators and so on. The differential geometrical methods of this theory were developed essentially under the influence of Professor S.-S. Chern's works. The present book is a second edition... It can serve as an introduction to, and a survey of, this theory and is based on the author's lectures held at the University of California and at a summer seminar of the Canadian Mathematical Congress.... The text is illustrated by many examples... The book is warmly recommended to everyone interested in complex differential geometry." #Acta Scientiarum Mathematicarum, 41, 3-4#