Moduli of Families of Curves for Conformal and Quasiconformal Mappings (häftad)
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Format
Häftad (Paperback / softback)
Språk
Engelska
Antal sidor
214
Utgivningsdatum
2002-07-01
Upplaga
2002 ed.
Förlag
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Medarbetare
Morel, J.-M. (red.)
Illustrationer
IX, 214 p.
Dimensioner
234 x 156 x 12 mm
Vikt
327 g
Antal komponenter
1
Komponenter
1 Paperback / softback
ISBN
9783540438465

Moduli of Families of Curves for Conformal and Quasiconformal Mappings

av Alexander Vasil'Ev
Häftad,  Engelska, 2002-07-01
542
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The monograph is concerned with the modulus of families of curves on Riemann surfaces and its applications to extremal problems for conformal, quasiconformal mappings, and the extension of the modulus onto Teichmller spaces. The main part of the monograph deals with extremal problems for compact classes of univalent conformal and quasiconformal mappings. Many of them are grouped around two-point distortion theorems. Montel's functions and functions with fixed angular derivatives are also considered. The last portion of problems is directed to the extension of the modulus varying the complex structure of the underlying Riemann surface that sheds some new light on the metric problems of Teichmller spaces.
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Innehållsförteckning

Introduction.- Moduli of Families of Curves and Extremal Partitions.- Moduli in Extremal Problems for Conformal Mapping.- Moduli in Extremal Problems for Quasiconformal Mapping.-Moduli on Teichmller Spaces.- References.- List of simbols.- Index.

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