A holomorphic extension theorem from a fractal hypersurface in ℂ2

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作者
Ricardo Abreu Blaya
Juan Bory Reyes
Tania Moreno García
机构
[1] Universidad de Holguín,Facultad de Informática y Matemática
[2] Universidad de Oriente,Departamento de Matemática
[3] Universidad de Holguín,Facultad de Informática y Matemática
关键词
CR-functions; holomorphic functions; quaternionic analysis; Primary: 32A26; Secondary: 32A10;
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摘要
We consider the problem of identifying boundary values of holomorphic functions on bounded domains in ℂ2. We use the quaternionic analysis techniques to extending the CR structure to a pure function theoretical nature. The advantage of our procedure lies in the fact that it also runs for domains with fractal boundary.
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页码:635 / 647
页数:12
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