Complex Analysis And Potential Theory

Author : Andre Boivin,Javad Mashreghi
Publisher : American Mathematical Soc.
Page : 347 pages
File Size : 48,8 Mb
Release : 2012
Category : Mathematics
ISBN : 9780821891735

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Complex Analysis and Potential Theory by Andre Boivin,Javad Mashreghi Pdf

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 : Norair Arakelian,Paul M. Gauthier
Publisher : Springer Science & Business Media
Page : 275 pages
File Size : 42,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401009799

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Approximation, Complex Analysis, and Potential Theory by Norair Arakelian,Paul M. Gauthier Pdf

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 : Thomas Ransford
Publisher : Cambridge University Press
Page : 246 pages
File Size : 51,6 Mb
Release : 1995-03-16
Category : Mathematics
ISBN : 0521466547

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Potential Theory in the Complex Plane by Thomas Ransford Pdf

Potential theory is the broad area of mathematical analysis encompassing such topics as harmonic and subharmonic functions.

Author : S. V. Rogosin
Publisher : Unknown
Page : 128 pages
File Size : 55,9 Mb
Release : 2014
Category : Electronic
ISBN : 1908106409

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9th Isaac Congress by S. V. Rogosin Pdf

Author : Anonim
Publisher : Unknown
Page : 148 pages
File Size : 40,5 Mb
Release : 2014
Category : Electronic
ISBN : OCLC:918136831

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Complex Analysis and Potential Theory by Anonim Pdf

Author : Tahir Aliyev Azero?lu,Promarz Melikovich Tamrazov
Publisher : World Scientific
Page : 301 pages
File Size : 51,9 Mb
Release : 2007
Category : Science
ISBN : 9789812705983

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Complex Analysis and Potential Theory by Tahir Aliyev Azero?lu,Promarz Melikovich Tamrazov Pdf

This volume gathers the contributions from outstanding mathematicians, such as Samuel Krushkal, Reiner Khnau, 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 : Steven R. Bell
Publisher : CRC Press
Page : 209 pages
File Size : 47,9 Mb
Release : 2015-11-04
Category : Mathematics
ISBN : 9781498727211

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The Cauchy Transform, Potential Theory and Conformal Mapping by Steven R. Bell Pdf

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 for the Laplace operator are solved, the Poisson kernel is constructed, and the inhomogenous Cauchy-Reimann equations are solved concretely and efficiently using formulas stemming from the Kerzman-Stein result. These explicit formulas yield new numerical methods for computing the classical objects of potential theory and conformal mapping, and the book provides succinct, complete explanations of these methods. Four new chapters have been added to this second edition: two on quadrature domains and another two on complexity of the objects of complex analysis and improved Riemann mapping theorems. The book is suitable for pure and applied math students taking a beginning graduate-level topics course on aspects of complex analysis as well as physicists and engineers interested in a clear exposition on a fundamental topic of complex analysis, methods, and their application.

Author : Paul M. Gauthier
Publisher : Springer Science & Business Media
Page : 565 pages
File Size : 51,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401109345

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Complex Potential Theory by Paul M. Gauthier Pdf

Proceedings of the NATO Advanced Study Institute and Séminaire de mathématiques supérieures, Montréal, Canada, July 26--August 6, 1993

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 43,7 Mb
Release : 2024-06-30
Category : Electronic
ISBN : 9789814475716

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Complex Analysis and Potential Theory by Anonim Pdf

Author : Thomas Ransford,Dr Ransford Thomas
Publisher : Cambridge University Press
Page : 243 pages
File Size : 43,8 Mb
Release : 2014-05-14
Category : MATHEMATICS
ISBN : 1107362059

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Potential Theory in the Complex Plane by Thomas Ransford,Dr Ransford Thomas Pdf

Potential theory is the broad area of mathematical analysis encompassing such topics as harmonic and subharmonic functions.

Author : Shiing-shen Chern
Publisher : Springer Science & Business Media
Page : 158 pages
File Size : 54,6 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9781468493443

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Complex Manifolds without Potential Theory by Shiing-shen Chern Pdf

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#

Author : Lester Helms
Publisher : Springer Science & Business Media
Page : 442 pages
File Size : 50,8 Mb
Release : 2009-05-27
Category : Mathematics
ISBN : 9781848823198

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Potential Theory by Lester Helms Pdf

The ?rst six chapters of this book are revised versions of the same chapters in the author’s 1969 book, Introduction to Potential Theory. Atthetimeof the writing of that book, I had access to excellent articles,books, and lecture notes by M. Brelot. The clarity of these works made the task of collating them into a single body much easier. Unfortunately, there is not a similar collection relevant to more recent developments in potential theory. A n- comer to the subject will ?nd the journal literature to be a maze of excellent papers and papers that never should have been published as presented. In the Opinion Column of the August, 2008, issue of the Notices of the Am- ican Mathematical Society, M. Nathanson of Lehman College (CUNY) and (CUNY) Graduate Center said it best “. . . When I read a journal article, I often ?nd mistakes. Whether I can ?x them is irrelevant. The literature is unreliable. ” From time to time, someone must try to ?nd a path through the maze. In planning this book, it became apparent that a de?ciency in the 1969 book would have to be corrected to include a discussion of the Neumann problem, not only in preparation for a discussion of the oblique derivative boundary value problem but also to improve the basic part of the subject matter for the end users, engineers, physicists, etc.

Author : David H. Armitage,Stephen J. Gardiner
Publisher : Springer Science & Business Media
Page : 343 pages
File Size : 48,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781447102335

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Classical Potential Theory by David H. Armitage,Stephen J. Gardiner Pdf

A long-awaited, updated introductory text by the world leaders in potential theory. This essential reference work covers all aspects of this major field of mathematical research, from basic theory and exercises to more advanced topological ideas. The largely self-contained presentation makes it basically accessible to graduate students.

Author : Lester L. Helms
Publisher : Springer Science & Business Media
Page : 494 pages
File Size : 55,6 Mb
Release : 2014-04-10
Category : Mathematics
ISBN : 9781447164227

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Potential Theory by Lester L. Helms Pdf

Potential Theory presents a clear path from calculus to classical potential theory and beyond, with the aim of moving the reader into the area of mathematical research as quickly as possible. The subject matter is developed from first principles using only calculus. Commencing with the inverse square law for gravitational and electromagnetic forces and the divergence theorem, the author develops methods for constructing solutions of Laplace's equation on a region with prescribed values on the boundary of the region. The latter half of the book addresses more advanced material aimed at those with the background of a senior undergraduate or beginning graduate course in real analysis. Starting with solutions of the Dirichlet problem subject to mixed boundary conditions on the simplest of regions, methods of morphing such solutions onto solutions of Poisson's equation on more general regions are developed using diffeomorphisms and the Perron-Wiener-Brelot method, culminating in application to Brownian motion. In this new edition, many exercises have been added to reconnect the subject matter to the physical sciences. This book will undoubtedly be useful to graduate students and researchers in mathematics, physics and engineering.

Author : Josef Kral,Jaroslav Lukes,Ivan Netuka,Jiri Vesely
Publisher : Springer Science & Business Media
Page : 352 pages
File Size : 47,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461309819

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Potential Theory by Josef Kral,Jaroslav Lukes,Ivan Netuka,Jiri Vesely Pdf

Within the tradition of meetings devoted to potential theory, a conference on potential theory took place in Prague on 19-24, July 1987. The Conference was organized by the Faculty of Mathematics and Physics, Charles University, with the collaboration of the Institute of Mathematics, Czechoslovak Academy of Sciences, the Department of Mathematics, Czech University of Technology, the Union of Czechoslovak Mathematicians and Physicists, the Czechoslovak Scientific and Technical Society, and supported by IMU. During the Conference, 69 scientific communications from different branches of potential theory were presented; the majority of them are in cluded in the present volume. (Papers based on survey lectures delivered at the Conference, its program as well as a collection of problems from potential theory will appear in a special volume of the Lecture Notes Series published by Springer-Verlag). Topics of these communications truly reflect the vast scope of contemporary potential theory. Some contributions deal with applications in physics and engineering, other concern potential theoretic aspects of function theory and complex analysis. Numerous papers are devoted to the theory of partial differential equations. Included are also many articles on axiomatic and abstract potential theory with its relations to probability theory. The present volume may thus be of intrest to mathematicians speciali zing in the above-mentioned fields and also to everybody interested in the present state of potential theory as a whole.