Quasiregular 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 Quasiregular Mappings write by Seppo Rickman. This book was released on 2012-12-06. Quasiregular Mappings available in PDF, EPUB and Kindle. Quasiregular Mappings extend quasiconformal theory to the noninjective case.They give a natural and beautiful generalization of the geometric aspects ofthe theory of analytic functions of one complex variable to Euclidean n-space or, more generally, to Riemannian n-manifolds. This book is a self-contained exposition of the subject. A braod spectrum of results of both analytic and geometric character are presented, and the methods vary accordingly. The main tools are the variational integral method and the extremal length method, both of which are thoroughly developed here. Reshetnyak's basic theorem on discreteness and openness is used from the beginning, but the proof by means of variational integrals is postponed until near the end. Thus, the method of extremal length is being used at an early stage and leads, among other things, to geometric proofs of Picard-type theorems and a defect relation, which are some of the high points of the present book.
Conformal Geometry and Quasiregular Mappings
Conformal Geometry and Quasiregular 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 Conformal Geometry and Quasiregular Mappings write by Matti Vuorinen. This book was released on 2006-11-15. Conformal Geometry and Quasiregular Mappings available in PDF, EPUB and Kindle. 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.
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.
QUASIREGULAR MAPPINGS AND ROYDEN ALGEBRAS.
QUASIREGULAR MAPPINGS AND ROYDEN ALGEBRAS. - 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 QUASIREGULAR MAPPINGS AND ROYDEN ALGEBRAS. write by NATHAN RAY SODERBORG. This book was released on 1991. QUASIREGULAR MAPPINGS AND ROYDEN ALGEBRAS. available in PDF, EPUB and Kindle. quasiregular mapping induced by T:A($\Omega \sp\prime )\to \rm A \subset A(\Omega)$ is bounded above by $\Vert$T$\Vert \sp{\rm n \sp2}$.
Quasiconformal Mappings and Analysis
Quasiconformal Mappings and Analysis - 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 and Analysis write by Peter Duren. This book was released on 2012-12-06. Quasiconformal Mappings and Analysis available in PDF, EPUB and Kindle. 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.
