The Cauchy Transform Potential Theory And Conformal Mapping
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| 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 | : Irene Sabadini |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 289 |
| Release | : 2009-04-21 |
| Genre | : Mathematics |
| ISBN | : 3764398930 |
Contains selected papers from the ISAAC conference 2007 and invited contributions. This book covers various topics that represent the main streams of research in hypercomplex analysis as well as the expository articles. It is suitable for researchers and postgraduate students in various areas of mathematical analysis.
| Author | : Joseph A. Cima |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 286 |
| Release | : 2006 |
| Genre | : Mathematics |
| ISBN | : 0821838717 |
The Cauchy transform of a measure on the circle is a subject of both classical and current interest with a sizable literature. This book is a thorough, well-documented, and readable survey of this literature and includes full proofs of the main results of the subject. This book also covers more recent perturbation theory as covered by Clark, Poltoratski, and Aleksandrov and contains an in-depth treatment of Clark measures.
| Author | : Hiroaki Aikawa |
| Publisher | : Springer |
| Total Pages | : 208 |
| Release | : 2006-11-14 |
| Genre | : Mathematics |
| ISBN | : 3540699910 |
The first part of these lecture notes is an introduction to potential theory to prepare the reader for later parts, which can be used as the basis for a series of advanced lectures/seminars on potential theory/harmonic analysis. Topics covered in the book include minimal thinness, quasiadditivity of capacity, applications of singular integrals to potential theory, L(p)-capacity theory, fine limits of the Nagel-Stein boundary limit theorem and integrability of superharmonic functions. The notes are written for an audience familiar with the theory of integration, distributions and basic functional analysis.
| Author | : Edgar Lee Stout |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 490 |
| Release | : 1992 |
| Genre | : Mathematics |
| ISBN | : 0821851470 |
This volume contains the proceedings of a Symposium on Complex Analysis, held at the University of Wisconsin at Madison in June 1991 on the occasion of the retirement of Walter Rudin. During the week of the conference, a group of about two hundred mathematicians from many nations gathered to discuss recent developments in complex analysis and to celebrate Rudin's long and productive career. Among the main subjects covered are applications of complex analysis to operator theory, polynomial convexity, holomorphic mappings, boundary behaviour of holomorphic functions, function theory on the unit disk and ball, and some aspects of the theory of partial differential equations related to complex analysis. Containing papers by some of the world's leading experts in these subjects, this book reports on current directions in complex analysis and presents an excellent mixture of the analytic and geometric aspects of the theory.
| Author | : René Erlin Castillo |
| Publisher | : Walter de Gruyter GmbH & Co KG |
| Total Pages | : 306 |
| Release | : 2022-07-05 |
| Genre | : Mathematics |
| ISBN | : 3110784092 |
This book provides an introduction into the modern theory of classical harmonic analysis, dealing with Fourier analysis and the most elementary singular integral operators, the Hilbert transform and Riesz transforms. Ideal for self-study or a one semester course in Fourier analysis, included are detailed examples and exercises.
| Author | : Frederick W. King |
| Publisher | : Cambridge University Press |
| Total Pages | : 661 |
| Release | : 2009-04-27 |
| Genre | : Mathematics |
| ISBN | : 0521517206 |
The definitive reference on Hilbert transforms covering the mathematical techniques for evaluating them, and their application.
| Author | : Peter Ebenfelt |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 298 |
| Release | : 2006-03-10 |
| Genre | : Mathematics |
| ISBN | : 3764373164 |
Quadrature domains were singled out about 30 years ago by D. Aharonov and H.S. Shapiro in connection with an extremal problem in function theory. Since then, a series of coincidental discoveries put this class of planar domains at the center of crossroads of several quite independent mathematical theories, e.g., potential theory, Riemann surfaces, inverse problems, holomorphic partial differential equations, fluid mechanics, operator theory. The volume is devoted to recent advances in the theory of quadrature domains, illustrating well the multi-facet aspects of their nature. The book contains a large collection of open problems pertaining to the general theme of quadrature domains.
| Author | : James S. Walker |
| Publisher | : CRC Press |
| Total Pages | : 468 |
| Release | : 2017-11-22 |
| Genre | : Mathematics |
| ISBN | : 1351448870 |
This new edition of an indispensable text provides a clear treatment of Fourier Series, Fourier Transforms, and FFTs. The unique software, included with the book and newly updated for this edition, allows the reader to generate, firsthand, images of all aspects of Fourier analysis described in the text. Topics covered include :
| Author | : Peter Duren |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 572 |
| Release | : 2013-10-17 |
| Genre | : Mathematics |
| ISBN | : 0817680853 |
This two volume set presents over 50 of the most groundbreaking contributions of Menahem M Schiffer. All of the reprints of Schiffer’s works herein have extensive annotation and invited commentaries, giving new clarity and insight into the impact and legacy of Schiffer's work. A complete bibliography and brief biography make this a rounded and invaluable reference.
