An Introduction to the Theory of Higher-Dimensional Quasiconformal Mappings - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction to the Theory of Higher-Dimensional Quasiconformal Mappings write by Frederick W. Gehring. This book was released on 2017-05-03. An Introduction to the Theory of Higher-Dimensional Quasiconformal Mappings available in PDF, EPUB and Kindle. 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.
Quasiconformal Mappings in the Plane
Quasiconformal Mappings in the Plane - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Quasiconformal Mappings in the Plane write by Olli Lehto. This book was released on 1973-01-01. Quasiconformal Mappings in the Plane available in PDF, EPUB and Kindle. The present text is a fairly direct translation of the German edition "Quasikonforme Abbildungen" published in 1965. During the past decade the theory of quasi conformal mappings in the plane has remained relatively stable. We felt, therefore, that major changes were not necessarily required in the text. In view of the recent progress in the higher-dimensional theory we found it preferable to indicate the two-dimensional case in the title. Our sincere thanks are due to K. W. Lucas, who did the major part of the translation work. In shaping the final form of the text with him we received many valuable suggestions from A. J. Lohwater. We are indebted to Anja Aaltonen and Pentti Dyyster for the prepara tion of the manuscript, and to Timo Erkama and Tuomas Sorvali for the careful reading and correction of the proofs. Finally, we should like to express our thanks to Springer-Verlag for their friendly coopera tion in the production of this volume.
Quasiconformal Space Mappings
Quasiconformal Space Mappings - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Quasiconformal Space Mappings write by Matti Vuorinen. This book was released on 2006-11-14. Quasiconformal Space Mappings available in PDF, EPUB and Kindle. 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.
Lectures on N-Dimensional Quasiconformal Mappings
Lectures on N-Dimensional Quasiconformal Mappings - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lectures on N-Dimensional Quasiconformal Mappings write by Jussi Vaisala. This book was released on 2014-01-15. Lectures on N-Dimensional Quasiconformal Mappings available in PDF, EPUB and Kindle.
Lectures on n-Dimensional Quasiconformal Mappings
Lectures on n-Dimensional Quasiconformal Mappings - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lectures on n-Dimensional Quasiconformal Mappings write by Jussi Väisälä. This book was released on 2006-11-15. Lectures on n-Dimensional Quasiconformal Mappings available in PDF, EPUB and Kindle.
