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Boundary Behaviour of Conformal Maps
Christian Pommerenke
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Description for Boundary Behaviour of Conformal Maps
Paperback. Series: Die Grundlehren der Mathematischen Wissenschaften. Num Pages: 309 pages, biography. BIC Classification: PBKD. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 16. Weight in Grams: 480.
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 tangent as is the case for Julia sets. Then the conformal map has many unexpected properties, for instance almost all the boundary is ... Read more
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 tangent as is the case for Julia sets. Then the conformal map has many unexpected properties, for instance almost all the boundary is ... Read more
Product Details
Format
Paperback
Publication date
2010
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Germany
Number of pages
309
Condition
New
Series
Die Grundlehren der Mathematischen Wissenschaften
Number of Pages
300
Place of Publication
Berlin, Germany
ISBN
9783642081293
SKU
V9783642081293
Shipping Time
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Ref
99-15
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