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Advances in Applied Clifford Algebras(1)
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A Holomorphic Extension Theorem using Clifford Analysis
ArticleAbstract: In this paper a new holomorphic extension theorem is presented using Clifford analysis. © 2009 BirkhPalabras claves:Clifford analysis, Holomorphic extension, Isotonic functionsAutores:Peña-Peña D., Reyes J.B., Ricardo Abreu Blaya, Sommen F.Fuentes:scopusA boundary value problem for hermitian monogenic functions
ArticleAbstract: We study the problem of finding a Hermitian monogenic function with a given jump on a given hypersurPalabras claves:Autores:Peña-Peña D., Reyes J.B., Ricardo Abreu Blaya, Sommen F.Fuentes:scopusLaplacian decomposition of vector fields on fractal surfaces
ArticleAbstract: In the present paper we consider domains in ℝ3 with fractal boundaries. Our main purpose is to studyPalabras claves:Fractals, Quatemionic analysis, Vector fieldsAutores:Moreno García T., Peña-Peña D., Reyes J.B., Ricardo Abreu BlayaFuentes:scopusHolomorphic extension theorems in lipschitz domains of C<sup>2</sup>
ArticleAbstract: The holomorphic functions of several complex variables are closely related to the continuously diffePalabras claves:Clifford analysis, Isotonic functions, Sokhotski-plemelj formulaeAutores:Peña-Peña D., Reyes J.B., Ricardo Abreu Blaya, Sommen F.Fuentes:scopusJump problem and removable singularities for monogenic functions
ArticleAbstract: In this article the jump problem for monogenic functions (Clifford holomorphicity) on the boundary oPalabras claves:Canchy transform, Clifford analysis, removable singularitiesAutores:Peña-Peña D., Reyes J.B., Ricardo Abreu BlayaFuentes:scopusRiemann boundary value problem for hyperanalytic functions
ArticleAbstract: We deal with Riemann boundary value problem for hyperanalytic functions. Furthermore, necessary andPalabras claves:Autores:Peña-Peña D., Reyes J.B., Ricardo Abreu BlayaFuentes:scopusThe Bochner-Martinelli transform with a continuous density: Davydov's theorem
ArticleAbstract: In this paper, we extend to the theory of functions of several complex variables, a theorem due to DPalabras claves:Bochner-Martinelli transform, Non-smooth boundaries, Sokhotski-plemelj formulaeAutores:Peña-Peña D., Reyes J.B., Ricardo Abreu BlayaFuentes:scopus