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TitleApplications of Bergman kernel functions
Author(s)Bock, S.
Falcão, M. I.
Gürlebeck, K.
KeywordsBergman kernel function
Hypercomplex function theory
Issue date2003
CitationBOCK, S.; FALCÃO, M. I.; GUERLEBECK, K.- Applications of Bergman kernel functions. In Gürlebeck, K.; Hempel, L; Könke, C., ed. lit. - “International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering - IKM, 16, Weimar, 2003 : proceedings” [Em linha]. Weimar : Bauhaus-Universität, 2003. [Consult. 30 Maio 2005]. Disponível em:
Abstract(s)In this paper we revisit the so-called Bergman kernel method (BKM) for solving conformal mapping problems. This method is based on the reproducing property of the Bergman kernel function. The construction of reproducing kernel functions is not restricted to real dimension 2. Results concerning the construction of Bergman kernel functions in closed form for special domains in the framework of hypercomplex function theory suggest that BKM can also be extended to mapping problems in higher dimensions. We describe a 3-dimensional BKM-approach and present two numerical examples.
TypeConference paper
AccessOpen access
Appears in Collections:CMAT - Artigos em atas de conferências e capítulos de livros com arbitragem / Papers in proceedings of conferences and book chapters with peer review

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