Conformal Mappings and Boundary Value Problems - Rilegato

Wen, Guo Chun

 
9780821845622: Conformal Mappings and Boundary Value Problems

Sinossi

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 Book News, Inc. Portland, Or.

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Contenuti

Some properties of analytic and harmonic functions; Conformal mappings of simpy connected domains; Conformal mappings of multiply connected domains; Applications of integrals of Cauchy type to boundary value problems; The Hilbert boundary value problem for analytic functions on multiply connected domains; Basic boundary value problems for harmonic functions; Appendix 1: A brief introduction to quasiconformal mappings; Appendix 2: Some connections between integral equations and boundary value problems.

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