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Author : Jussi Väisälä
Publisher : Springer
ISBN 13 : 3540369376
Total Pages : 157 pages
Book Rating : 4.5/5 (43 download)
Download or read book Lectures on n-Dimensional Quasiconformal Mappings written by Jussi Väisälä and published by Springer. This book was released on 2006-11-15 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jussi Vaisala
Publisher :
ISBN 13 : 9783662187142
Total Pages : 168 pages
Book Rating : 4.1/5 (871 download)
Download or read book Lectures on N-Dimensional Quasiconformal Mappings written by Jussi Vaisala and published by . This book was released on 2014-01-15 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Petru Caraman
Publisher : CRC Press
ISBN 13 : 9780856260056
Total Pages : 554 pages
Book Rating : 4.2/5 (6 download)
Download or read book N-Dimensional Quasiconformal (QCf) Mappings written by Petru Caraman and published by CRC Press. This book was released on 1974 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Frederick W. Gehring
Publisher : American Mathematical Soc.
ISBN 13 : 0821843605
Total Pages : 116 pages
Book Rating : 4.8/5 (218 download)
Download or read book An Introduction to the Theory of Higher-Dimensional Quasiconformal Mappings written by Frederick W. Gehring and published by American Mathematical Soc.. This book was released on 2017-05-03 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a modern, up-to-date introduction to quasiconformal mappings from an explicitly geometric perspective, emphasizing both the extensive developments in mapping theory during the past few decades and the remarkable applications of geometric function theory to other fields, including dynamical systems, Kleinian groups, geometric topology, differential geometry, and geometric group theory. It is a careful and detailed introduction to the higher-dimensional theory of quasiconformal mappings from the geometric viewpoint, based primarily on the technique of the conformal modulus of a curve family. Notably, the final chapter describes the application of quasiconformal mapping theory to Mostow's celebrated rigidity theorem in its original context with all the necessary background. This book will be suitable as a textbook for graduate students and researchers interested in beginning to work on mapping theory problems or learning the basics of the geometric approach to quasiconformal mappings. Only a basic background in multidimensional real analysis is assumed.
Author : Lars Valerian Ahlfors
Publisher : American Mathematical Soc.
ISBN 13 : 0821836447
Total Pages : 178 pages
Book Rating : 4.8/5 (218 download)
Download or read book Lectures on Quasiconformal Mappings written by Lars Valerian Ahlfors and published by American Mathematical Soc.. This book was released on 2006-07-14 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lars Ahlfors's Lectures on Quasiconformal Mappings, based on a course he gave at Harvard University in the spring term of 1964, was first published in 1966 and was soon recognized as the classic it was shortly destined to become. These lectures develop the theory of quasiconformal mappings from scratch, give a self-contained treatment of the Beltrami equation, and cover the basic properties of Teichmuller spaces, including the Bers embedding and the Teichmuller curve. It is remarkable how Ahlfors goes straight to the heart of the matter, presenting major results with a minimum set of prerequisites. Many graduate students and other mathematicians have learned the foundations of the theories of quasiconformal mappings and Teichmuller spaces from these lecture notes. This edition includes three new chapters. The first, written by Earle and Kra, describes further developments in the theory of Teichmuller spaces and provides many references to the vast literature on Teichmuller spaces and quasiconformal mappings. The second, by Shishikura, describes how quasiconformal mappings have revitalized the subject of complex dynamics. The third, by Hubbard, illustrates the role of these mappings in Thurston's theory of hyperbolic structures on 3-manifolds. Together, these three new chapters exhibit the continuing vitality and importance of the theory of quasiconformal mappings.
Author : Peter Duren
Publisher : Springer Science & Business Media
ISBN 13 : 1461206057
Total Pages : 379 pages
Book Rating : 4.4/5 (612 download)
Download or read book Quasiconformal Mappings and Analysis written by Peter Duren and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: In honor of Frederick W. Gehring on the occasion of his 70th birthday, an international conference on ""Quasiconformal mappings and analysis"" was held in Ann Arbor in August 1995. The 9 main speakers of the conference (Astala, Earle, Jones, Kra, Lehto, Martin, Pommerenke, Sullivan, and Vaisala) provide broad expository articles on various aspects of quasiconformal mappings and their relations to other areas of analysis. 12 other distinguished mathematicians contribute articles to this volume.
Author : Alexander Vasil'ev
Publisher : Springer
ISBN 13 : 3540454373
Total Pages : 214 pages
Book Rating : 4.5/5 (44 download)
Download or read book Moduli of Families of Curves for Conformal and Quasiconformal Mappings written by Alexander Vasil'ev and published by Springer. This book was released on 2004-10-20 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: The monograph is concerned with the modulus of families of curves on Riemann surfaces and its applications to extremal problems for conformal, quasiconformal mappings, and the extension of the modulus onto Teichmüller spaces. The main part of the monograph deals with extremal problems for compact classes of univalent conformal and quasiconformal mappings. Many of them are grouped around two-point distortion theorems. Montel's functions and functions with fixed angular derivatives are also considered. The last portion of problems is directed to the extension of the modulus varying the complex structure of the underlying Riemann surface that sheds some new light on the metric problems of Teichmüller spaces.
Author : Matti Vuorinen
Publisher : Springer
ISBN 13 : 3540470611
Total Pages : 156 pages
Book Rating : 4.5/5 (44 download)
Download or read book Quasiconformal Space Mappings written by Matti Vuorinen and published by Springer. This book was released on 2006-11-14 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of surveys on function theory in euclidean n-dimensional spaces centered around the theme of quasiconformal space mappings. These surveys cover or are related to several topics including inequalities for conformal invariants and extremal length, distortion theorems, L(p)-theory of quasiconformal maps, nonlinear potential theory, variational calculus, value distribution theory of quasiregular maps, topological properties of discrete open mappings, the action of quasiconformal maps in special classes of domains, and global injectivity theorems. The present volume is the first collection of surveys on Quasiconformal Space Mappings since the origin of the theory in 1960 and this collection provides in compact form access to a wide spectrum of recent results due to well-known specialists. CONTENTS: G.D. Anderson, M.K. Vamanamurthy, M. Vuorinen: Conformal invariants, quasiconformal maps and special functions.- F.W. Gehring: Topics in quasiconformal mappings.- T.Iwaniec: L(p)-theory of quasiregular mappings.- O. Martio: Partial differential equations and quasiregular mappings.- Yu.G. Reshetnyak: On functional classes invariant relative to homothetics.- S. Rickman: Picard's theorem and defect relation for quasiconformal mappings.- U. Srebro: Topological properties of quasiregular mappings.- J. V{is{l{: Domains and maps.- V.A. Zorich: The global homeomorphism theorem for space quasiconformal mappings, its development and related open problems.
Author : Frederick W. Gehring
Publisher :
ISBN 13 :
Total Pages : 128 pages
Book Rating : 4.3/5 (91 download)
Download or read book Lectures on Quasiconformal Mappings written by Frederick W. Gehring and published by . This book was released on 1975 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Matti Vuorinen
Publisher : Springer
ISBN 13 : 3540392076
Total Pages : 228 pages
Book Rating : 4.5/5 (43 download)
Download or read book Conformal Geometry and Quasiregular Mappings written by Matti Vuorinen and published by Springer. This book was released on 2006-11-15 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the theory of spatial quasiregular mappings intended for the uninitiated reader. At the same time the book also addresses specialists in classical analysis and, in particular, geometric function theory. The text leads the reader to the frontier of current research and covers some most recent developments in the subject, previously scatterd through the literature. A major role in this monograph is played by certain conformal invariants which are solutions of extremal problems related to extremal lengths of curve families. These invariants are then applied to prove sharp distortion theorems for quasiregular mappings. One of these extremal problems of conformal geometry generalizes a classical two-dimensional problem of O. Teichmüller. The novel feature of the exposition is the way in which conformal invariants are applied and the sharp results obtained should be of considerable interest even in the two-dimensional particular case. This book combines the features of a textbook and of a research monograph: it is the first introduction to the subject available in English, contains nearly a hundred exercises, a survey of the subject as well as an extensive bibliography and, finally, a list of open problems.
Author : Juha Heinonen
Publisher : Springer Science & Business Media
ISBN 13 : 1461301319
Total Pages : 149 pages
Book Rating : 4.4/5 (613 download)
Download or read book Lectures on Analysis on Metric Spaces written by Juha Heinonen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to communicate some of the recent advances in this field while preparing the reader for more advanced study. The material can be roughly divided into three different types: classical, standard but sometimes with a new twist, and recent. The author first studies basic covering theorems and their applications to analysis in metric measure spaces. This is followed by a discussion on Sobolev spaces emphasizing principles that are valid in larger contexts. The last few sections of the book present a basic theory of quasisymmetric maps between metric spaces. Much of the material is recent and appears for the first time in book format.
Author : Ilpo Laine
Publisher : Springer
ISBN 13 : 3540459928
Total Pages : 398 pages
Book Rating : 4.5/5 (44 download)
Download or read book Complex Analysis Joensuu 1987 written by Ilpo Laine and published by Springer. This book was released on 2006-11-14 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles in this volume are for the most part research articles related mainly to the theory of quasiconformal and quasiregular mappings, Riemann surfaces and potential theory. They have resulted from talks delivered at the 13th Nevanlinna Colloquium, which was also a celebration of the 80th birthday of Lars V. Ahlfors: hence many articles in this volume reflect his mathematical interests.
Author : Lars Valerian Ahlfors
Publisher : Wadsworth Publishing Company
ISBN 13 : 9780534081188
Total Pages : 146 pages
Book Rating : 4.0/5 (811 download)
Download or read book Lectures on Quasiconformal Mappings written by Lars Valerian Ahlfors and published by Wadsworth Publishing Company. This book was released on 1966 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: A reprint of the important 1966 original.
Author : Olli Martio
Publisher : Springer Science & Business Media
ISBN 13 : 0387855882
Total Pages : 368 pages
Book Rating : 4.3/5 (878 download)
Download or read book Moduli in Modern Mapping Theory written by Olli Martio and published by Springer Science & Business Media. This book was released on 2008-11-09 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on recent research papers, this book presents a modern account of mapping theory with emphasis on quasiconformal mapping and its generalizations. It contains an extensive bibliography.
Author : I. Laine
Publisher : Springer
ISBN 13 : 354034859X
Total Pages : 469 pages
Book Rating : 4.5/5 (43 download)
Download or read book Complex Analysis. Joensuu 1978 written by I. Laine and published by Springer. This book was released on 2006-11-15 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: Romanian Finnish Seminar on Complex Analysis
Author : Reiner Kuhnau
Publisher : Elsevier
ISBN 13 : 0080495176
Total Pages : 876 pages
Book Rating : 4.0/5 (84 download)
Download or read book Handbook of Complex Analysis written by Reiner Kuhnau and published by Elsevier. This book was released on 2004-12-09 with total page 876 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric Function Theory is that part of Complex Analysis which covers the theory of conformal and quasiconformal mappings. Beginning with the classical Riemann mapping theorem, there is a lot of existence theorems for canonical conformal mappings. On the other side there is an extensive theory of qualitative properties of conformal and quasiconformal mappings, concerning mainly a prior estimates, so called distortion theorems (including the Bieberbach conjecture with the proof of the Branges). Here a starting point was the classical Scharz lemma, and then Koebe's distortion theorem. There are several connections to mathematical physics, because of the relations to potential theory (in the plane). The Handbook of Geometric Function Theory contains also an article about constructive methods and further a Bibliography including applications eg: to electroxtatic problems, heat conduction, potential flows (in the plane). · A collection of independent survey articles in the field of GeometricFunction Theory · Existence theorems and qualitative properties of conformal and quasiconformal mappings · A bibliography, including many hints to applications in electrostatics, heat conduction, potential flows (in the plane).
Author : Evgeny Sevost'yanov
Publisher : Springer Nature
ISBN 13 : 3031454189
Total Pages : 437 pages
Book Rating : 4.0/5 (314 download)
Download or read book Mappings with Direct and Inverse Poletsky Inequalities written by Evgeny Sevost'yanov and published by Springer Nature. This book was released on 2023-12-22 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: The monograph is devoted to the use of the moduli method in mapping theory, in particular, the meaning of direct and inverse modulus inequalities and their possible applications. The main goal is the development of a modulus technique in the Euclidean space and some metric spaces (manifolds, surfaces, quotient spaces, etc.). Particular attention is paid to the local and boundary behavior of mappings, as well as to obtaining modulus inequalities for some classes. The reader is invited to familiarize himself with all the main achievements of the author, synthesized in this book. The results presented here are of a high scientific level, are new and have no analogues in the world with such a degree of generality.
