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A Bimonogenic Cauchy Transform on Higher Order Lipschitz Classes
ArticleAbstract: We prove that a Cauchy transform naturally arising for bimonogenic Clifford algebra valued functionsPalabras claves:Bimonogenic functions, Cauchy transform, higher order Lipschitz classesAutores:De la Cruz-Toranzo L., García A.M., García T.M., Reyes J.B., Ricardo Abreu BlayaFuentes:scopusCriteria for monogenicity of Clifford algebra-valued functions on fractal domains
ArticleAbstract: Suppose that Ω is a bounded domain with fractal boundary Γ in ℝn+1 and let ℝ0,n be the real CliffordPalabras claves:Cauchy transform, Cauchy-Riemann operator, Clifford analysisAutores:Reyes J.B., Ricardo Abreu BlayaFuentes:scopusCauchy transform on nonrectifiable surfaces in Clifford analysis
ArticleAbstract: The problem of reconstructing a monogenic Clifford algebra valued function on the boundary Γ of a gePalabras claves:Cauchy transform, Clifford analysis, RectifiabilityAutores:Moreno García T., Reyes J.B., Ricardo Abreu BlayaFuentes:scopusHarmonic multivector fields and the Cauchy integral decomposition in Clifford analysis
ArticleAbstract: In this paper we study the problem of decomposing a Hölder continuous k-grade multivector field Fk oPalabras claves:Cauchy transform, Clifford analysis, Multivector fieldsAutores:Delanghe R., Reyes J.B., Ricardo Abreu Blaya, Sommen F.Fuentes:scopusOn the Laplacian vector fields theory in domains with rectifiable boundary
ArticleAbstract: Given a domain Ω in ℝ3 with rectifiable boundary, we consider main integral, and some other, theoremPalabras claves:Cauchy transform, Quaternionic analysis, Vector fields theoryAutores:Reyes J.B., Ricardo Abreu Blaya, Shapiro M.Fuentes:scopusMinkowski dimension and cauchy transform in Clifford analysis
ArticleAbstract: In the present paper we provide some conditions of a geometrical character for continuous extendibilPalabras claves:Cauchy transform, Clifford analysis, Geometric measure theoryAutores:García T.M., Reyes J.B., Ricardo Abreu BlayaFuentes:scopusThe Clifford-Cauchy transform with a continuous density: N. Davydov's theorem
ArticleAbstract: N. A. Davydov was among the first mathematicians who investigated the question of the continuity ofPalabras claves:Cauchy transform, Clifford analysis, Multivector fieldsAutores:Gerus O.F., Reyes J.B., Ricardo Abreu Blaya, Shapiro M.Fuentes:scopusThe cauchy transform for the hodge/de rham system and some of its properties
ArticleAbstract: We study the analogue of the Cauchy transform for the theory of solutions of the Hodge/de Rham systePalabras claves:Cauchy transform, Clifford analysis, differential forms, Hodge/de Rham systemAutores:Reyes J.B., Ricardo Abreu Blaya, Shapiro M.Fuentes:scopus