Synopses & Reviews
The Beltrami Equation: A Geometric Approach will be particularly useful to many specialists in modern geometric analysis, quasiconformal mappings and extensions, beginning researchers, and graduate students with a year's background in complex variables. This book covers the state-of-the art in the ongoing study of the Beltrami equation, the classical equation that has been studied for more than 100 years. Along with its rich history, the Beltrami equation plays a significant role in geometry, analysis, and physics. The most important feature of this work
Synopsis
1. Introduction.- 2. Preliminaries.- 3. The Classical Beltrami Equation μ∞
Synopsis
This book is devoted to the Beltrami equations that play a significant role in Geometry, Analysis and Physics and, in particular, in the study of quasiconformal mappings and their generalizations, Riemann surfaces, Kleinian groups, Teichmuller spaces, Clifford analysis,
Synopsis
This book is devoted to the Beltrami equations that play a significant role in Geometry, Analysis and Physics and, in particular, in the study of quasiconformal mappings and their generalizations, Riemann surfaces, Kleinian groups, Teichmuller spaces, Clifford analysis,
Table of Contents
1. Introduction.- 2. Preliminaries.- 3. The Classical Beltrami Equation ||μ||∞ < 1.-="" 4.="" the="" degenerate="" case.-="" 5.="" bmo-="" and="" fmo-quasiconformal="" mappings.-="" 6.="" ring="" q-homeomorphisms="" at="" boundary="" points.-="" 7.="" strong="" ring="" solutions="" of="" beltrami="" equations.-="" 8.="" on="" the="" dirichlet="" problem="" for="" beltrami="" equations.-="" 9.="" on="" the="" beltrami="" equations="" with="" two="" characteristics.-="" 10.="" alternating="" beltrami="" equation.-="" references.-="" index.="">