Conformally Invariant Metrics and Quasiconformal Mappings

Beschreibung

This book is an introduction to the theory of quasiconformal and quasiregular mappings in the euclidean n-dimensional space, (where n is greater than 2). There are many ways to develop this theory as the literature shows. The authors' approach is based on the use of metrics, in particular conformally invariant metrics, which will have a key role throughout the whole book. The intended readership consists of mathematicians from beginning graduate students to researchers. The prerequisite requirements are modest: only some familiarity with basic ideas of real and complex analysis is expected.
This book is an introduction to the theory of quasiconformal and quasiregular mappings in the euclidean n-dimensional space, (where n is greater than 2). There are many ways to develop this theory as the literature shows. The authors' approach is based on the use of metrics, in particular conformally invariant metrics, which will have a key role throughout the whole book. The intended readership consists of mathematicians from beginning graduate students to researchers. The prerequisite requirements are modest: only some familiarity with basic ideas of real and complex analysis is expected.

Brings under one roof results previously scattered in many research papers published during the past 50 years since the origin of the three-dimensional theory of quasiconformal and quasiregular mappings Contains an extensive set of exercises, including solutions Can be used as learning material/collateral reading for several courses

Autor*in

Parisa Hariri

Themen in »Conformally Invariant Metrics and Quasiconformal Mappings«

Möbius transformations Quasiconformal mappings in the plane Quasiregular mappings in Rn conformal invariants boundary properties of QR-maps hyperbolic metric

Stimmen zu »Conformally Invariant Metrics and Quasiconformal Mappings«

“The book not only provides a reference for the study of quasiregular mappings, but could also serve as a useful handbook for the student/researcher interested in hyperbolic (and hyperbolic-type) metrics on Euclidean domains. … it constitutes a significant addition to the body of literature on these topics.” (David Matthew Freeman, Mathematical Reviews, February, 2022)
()

Details

Link teilen