Boundary Behavior of Uniformly Convergent Conformal Maps PDF Download
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Author: Karyn Andrea Lundberg
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 162
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Book Description
Author: Karyn Andrea Lundberg
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 162
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Book Description
Author: Christian Pommerenke
Publisher: Springer Science & Business Media
ISBN: 3662027704
Category : Mathematics
Languages : en
Pages : 307
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Book Description
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 mapped onto almost nothing and vice versa. The book is meant for two groups of users. (1) Graduate students and others who, at various levels, want to learn about conformal mapping. Most sections contain exercises to test the understand ing. They tend to be fairly simple and only a few contain new material. Pre requisites are general real and complex analyis including the basic facts about conformal mapping (e.g. AhI66a). (2) Non-experts who want to get an idea of a particular aspect of confor mal mapping in order to find something useful for their work. Most chapters therefore begin with an overview that states some key results avoiding tech nicalities. The book is not meant as an exhaustive survey of conformal mapping. Several important aspects had to be omitted, e.g. numerical methods (see e.g.
Author: C. Pommerenke
Publisher:
ISBN: 9783527547517
Category :
Languages : en
Pages :
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Author: Guo-Chun Wen
Publisher: American Mathematical Soc.
ISBN: 9780821886809
Category : Mathematics
Languages : en
Pages : 318
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Book Description
Translated from the Chinese. Conformal mapping and boundary value problems are two major branches of complex function theory. The former is the geometric theory of analytic functions, and the latter is the analysis theory governing the close relationship between abstract theory and many concrete problems. Topics include applications of Cauchy type integrals, the Hilbert boundary value problem, quasiconformal mappings, and basic boundary value problems for harmonic functions. Annotation copyright by Book News, Inc., Portland, OR
Author: Sirakov Boyan
Publisher: World Scientific
ISBN: 9813272899
Category : Mathematics
Languages : en
Pages : 5396
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Book Description
The Proceedings of the ICM publishes the talks, by invited speakers, at the conference organized by the International Mathematical Union every 4 years. It covers several areas of Mathematics and it includes the Fields Medal and Nevanlinna, Gauss and Leelavati Prizes and the Chern Medal laudatios.
Author: James Edgar Thompson
Publisher:
ISBN:
Category : Conformal mapping
Languages : en
Pages : 148
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Author: John Marafino
Publisher:
ISBN:
Category : Conformal mapping
Languages : en
Pages : 112
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Book Description
Author: Joseph Leonard Walsh
Publisher:
ISBN:
Category : Conformal mapping
Languages : en
Pages : 52
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Author: Maynard G. Arsove
Publisher: American Mathematical Soc.
ISBN: 0821812912
Category : Boundary value problems
Languages : en
Pages : 60
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Book Description
Methods of classical analysis devised originally for the disc are here extended to more general plane regions by the use of Green's lines, the Green's mapping, and an ideal boundary structure generalizing the prime-end structure of Carathéodory. The regions admitted include all bounded finitely connected regions, as well as a broad class of infinitely connected regions. Since certain modifications in the Brelot-Choquet theory are needed to allow for singular Green's lines, an independent development of the theory of Green's lines is given, based on properties of the Green's mapping. These techniques make possible the introduction of a generalized Poisson kernel and integral defined in terms of Green's lines.
Author: Padamjit Singh
Publisher:
ISBN:
Category : Conformal mapping
Languages : en
Pages : 94
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Book Description
