ENGLISH

Moduli in Modern Mapping Theory

By Olli Martio , Vladimir Ryazanov , Uri Srebro , Eduard Yakubov (auth.)

Book information

Publisher
Springer-Verlag New York
Year
2009
ISBN
978-0-387-85586-8, 978-0-387-85588-2
DOI
10.1007/978-0-387-85588-2
Language
english
Format
PDF
Filesize
10 MB (10727741 bytes)
Series
Springer Monographs in Mathematics
Edition
1
Pages
367\367
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Analysis; Functional Analysis

Description

The purpose of this book is to present a modern account of mapping theory with emphasis on quasiconformal mapping and its generalizations. The modulus method was initiated by Arne Beurling and Lars Ahlfors to study conformal mappings, and later this method was extended and enhanced by several others. The techniques are geometric and they have turned out to be an indispensable tool in the study of quasiconformal and quasiregular mappings as well as their generalizations. The book is based on recent research papers and extends the modulus method beyond the classical applications of the modulus techniques presented in many monographs.

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