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Boundary Behaviour of Conformal Maps (Grundlehren der mathematischen Wissenschaften)

Christian Pommerenke




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 | #8297352 in Books |  2010-12-07 | Original language:English | PDF # 1 |  9.00 x.71 x6.00l,.97 | File type: PDF | 300 pages

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We study the boundary behaviour of a conformal map of the unit disk onto an arbitrary simply connected plane domain. A principal aim of the theory is to obtain a one-to-one correspondence between analytic properties of the function and geometrie properties of the domain. In the classical applications of conformal mapping, the domain is bounded by a piecewise smooth curve. In many recent applications however, the domain has a very bad boundary. It may have nowhere a tange...

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