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Clifford analysis approach to a self-conjugate Cauchy type integral on Ahlfors regular surfaces
ArticleAbstract: In this note, based on a natural isomorphism between the spaces of differential forms and Clifford aPalabras claves:Clifford analysis, differential forms, Multi-vector fieldsAutores:Reyes J.B., Ricardo Abreu BlayaFuentes:scopusBoundary value problems with higher order Lipschitz boundary data for polymonogenic functions in fractal domains
ArticleAbstract: In this note we consider certain jump problem for poly-monogenic functions in fractal domains with hPalabras claves:Boundary value problems, Clifford analysis, fractal geometryAutores:Ávila-Ávila R., Reyes J.B., Ricardo Abreu BlayaFuentes:scopusAn extension theorem for biregular functions in clifford analysis
Conference ObjectAbstract: In this contribution we are interested in finding necessary and sufficient conditions for the two-siPalabras claves:Biregular functions, Bochner-Martinelli formulae, Clifford analysis, Extension theoremsAutores:Reyes J.B., Ricardo Abreu BlayaFuentes:scopusAnnihilators for Harmonic Differential Forms Via Clifford Analysis
ArticleAbstract: In this paper we describe completely the annihilators of harmonic differential forms into the CliffoPalabras claves:Clifford analysis, duality theory, Harmonic formsAutores:Delanghe R., Reyes J.B., Ricardo Abreu Blaya, Sommen F.Fuentes:scopusA Cauchy Integral Formula for Inframonogenic Functions in Clifford Analysis
ArticleAbstract: In this paper we derive a Cauchy integral representation formula for the solutions of the sandwich ePalabras claves:Cauchy integral formula, Clifford analysis, Dirac operatorAutores:García A.M., García T.M., Reyes J.B., Ricardo Abreu BlayaFuentes:scopusA 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 Martinelli-Bochner formula on fractal domains
ArticleAbstract: A new perspective on a Cauchy integral formula for Clifford algebras valued functions on domains witPalabras claves:Clifford analysis, Fractals, Martinelli-Bochner formulaAutores: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:scopusDecomposition of inframonogenic functions with applications in elasticity theory
ArticleAbstract: In this paper, we consider functions satisfying the sandwich equation (Formula presented.), where (FPalabras claves:Almansi decomposition, Clifford analysis, inframonogenic functions, Lamé system, Linear elasticityAutores:Moreno García A., Moreno García T., 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:scopus