Elliptic Theory For Sets With Higher Co Dimensional Boundaries
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Elliptic Theory for Sets with Higher Co-Dimensional Boundaries
Author: Guy David
language: en
Publisher: American Mathematical Society
Release Date: 2021-12-30
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Rectifiability
Author: Pertti Mattila
language: en
Publisher: Cambridge University Press
Release Date: 2023-01-12
A broad survey of the theory of rectifiability and its deep connections to numerous different areas of mathematics.
An Introduction to the Theory of Higher-Dimensional Quasiconformal Mappings
Author: Frederick W. Gehring
language: en
Publisher: American Mathematical Soc.
Release Date: 2017-05-03
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.