Quasiregular Mappings

Quasiregular Mappings
Author :
Publisher : Springer Science & Business Media
Total Pages : 221
Release :
ISBN-10 : 9783642782015
ISBN-13 : 3642782019
Rating : 4/5 (15 Downloads)

Book Synopsis Quasiregular Mappings by : Seppo Rickman

Download or read book Quasiregular Mappings written by Seppo Rickman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Quasiregular Mappings Related Books

Quasiregular Mappings
Language: en
Pages: 221
Authors: Seppo Rickman
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

Quasiregular Mappings extend quasiconformal theory to the noninjective case.They give a natural and beautiful generalization of the geometric aspects ofthe theo
Quasiconformal Space Mappings
Language: en
Pages: 156
Authors: Matti Vuorinen
Categories: Mathematics
Type: BOOK - Published: 2006-11-14 - Publisher: Springer

DOWNLOAD EBOOK

This volume is a collection of surveys on function theory in euclidean n-dimensional spaces centered around the theme of quasiconformal space mappings. These su
Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane (PMS-48)
Language: en
Pages: 708
Authors: Kari Astala
Categories: Mathematics
Type: BOOK - Published: 2009-01-18 - Publisher: Princeton University Press

DOWNLOAD EBOOK

This book explores the most recent developments in the theory of planar quasiconformal mappings with a particular focus on the interactions with partial differe
Conformal Geometry and Quasiregular Mappings
Language: en
Pages: 228
Authors: Matti Vuorinen
Categories: Mathematics
Type: BOOK - Published: 2006-11-15 - Publisher: Springer

DOWNLOAD EBOOK

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 specia
Quasiconformal Mappings and Analysis
Language: en
Pages: 379
Authors: Peter Duren
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

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 A