Approximation and Complex Potential Theory
Author: Magnus Lundin
Publisher:
Published: 1992
Total Pages: 24
ISBN-13: 9789170326905
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Approximation, Complex Analysis, and Potential Theory
Author: Norair Arakelian
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 275
ISBN-13: 9401009791
DOWNLOAD EBOOKHermann 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.
Complex Potential Theory
Author: Paul M. Gauthier
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 565
ISBN-13: 9401109346
DOWNLOAD EBOOKProceedings of the NATO Advanced Study Institute and Séminaire de mathématiques supérieures, Montréal, Canada, July 26--August 6, 1993
Complex Analysis and Potential Theory
Author: Andre Boivin
Publisher: American Mathematical Soc.
Published: 2012
Total Pages: 347
ISBN-13: 0821891731
DOWNLOAD EBOOKThis 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.
Potential Theory in the Complex Plane
Author: Thomas Ransford
Publisher: Cambridge University Press
Published: 1995-03-16
Total Pages: 246
ISBN-13: 9780521466547
DOWNLOAD EBOOKPotential theory is the broad area of mathematical analysis encompassing such topics as harmonic and subharmonic functions.
Complex Methods in Approximation Theory
Author: Francisco Marcellán
Publisher: Universidad Almería
Published: 1997-01-01
Total Pages: 194
ISBN-13: 9788482400464
DOWNLOAD EBOOKThis book provides an up-to-date account of research in Approximation Theory and Complex Analysis, areas which are the subject of recent exciting developments.The level of presentation should be suitable for anyone with a good knowledge of analysis, including scientists with a mathematical background. The volume contains both research papers and surveys, presented by specialists in the field. The areas discussed are: Orthogonal Polynomials (with respect to classical and Sobolev inner products), Approximation in Several Complex Variables, Korovkin-type Theorems, Potential Theory, Ratinal Approximation and Linear Ordinary Differential Equations.
Potential Theory - ICPT 94
Author: Josef Kral
Publisher: Walter de Gruyter
Published: 2011-10-13
Total Pages: 513
ISBN-13: 3110818574
DOWNLOAD EBOOKThe series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
Introduction To The Theory Of Weighted Polynomial Approximation
Author: H N Mhaskar
Publisher: World Scientific
Published: 1997-01-04
Total Pages: 398
ISBN-13: 9814518050
DOWNLOAD EBOOKIn this book, we have attempted to explain a variety of different techniques and ideas which have contributed to this subject in its course of successive refinements during the last 25 years. There are other books and surveys reviewing the ideas from the perspective of either potential theory or orthogonal polynomials. The main thrust of this book is to introduce the subject from an approximation theory point of view. Thus, the main motivation is to study analogues of results from classical trigonometric approximation theory, introducing other ideas as needed. It is not our objective to survey the most recent results, but merely to introduce to the readers the thought processes and ideas as they are developed.This book is intended to be self-contained, although the reader is expected to be familiar with rudimentary real and complex analysis. It will also help to have studied elementary trigonometric approximation theory, and have some exposure to orthogonal polynomials.
Approximation, Complex Analysis, and Potential Theory
Author: Norair Arakelian
Publisher: Springer
Published: 2001-09-30
Total Pages: 264
ISBN-13: 9781402000287
DOWNLOAD EBOOKHermann 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.
Advancements in Complex Analysis
Author: Daniel Breaz
Publisher: Springer Nature
Published: 2020-05-12
Total Pages: 538
ISBN-13: 3030401200
DOWNLOAD EBOOKThe contributions to this volume are devoted to a discussion of state-of-the-art research and treatment of problems of a wide spectrum of areas in complex analysis ranging from pure to applied and interdisciplinary mathematical research. Topics covered include: holomorphic approximation, hypercomplex analysis, special functions of complex variables, automorphic groups, zeros of the Riemann zeta function, Gaussian multiplicative chaos, non-constant frequency decompositions, minimal kernels, one-component inner functions, power moment problems, complex dynamics, biholomorphic cryptosystems, fermionic and bosonic operators. The book will appeal to graduate students and research mathematicians as well as to physicists, engineers, and scientists, whose work is related to the topics covered.
