Moduli of Families of Curves for Conformal and Quasiconformal Mappings - Lecture Notes in Mathematics 1788 (Paperback)
  • Moduli of Families of Curves for Conformal and Quasiconformal Mappings - Lecture Notes in Mathematics 1788 (Paperback)
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Moduli of Families of Curves for Conformal and Quasiconformal Mappings - Lecture Notes in Mathematics 1788 (Paperback)

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Paperback 214 Pages / Published: 23/07/2002
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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 Teichmuller 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 Teichmuller spaces.

Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN: 9783540438465
Number of pages: 214
Weight: 720 g
Dimensions: 235 x 155 x 12 mm
Edition: 2002 ed.

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