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Comparing Harmonic and Inframonogenic Functions in Clifford Analysis
ArticleAbstract: Harmonic functions are the solutions of the second-order partial differential equation ∂x̲∂x̲u=0, whPalabras claves:Clifford analysis, harmonic functions, inframonogenic functionsAutores:García A.M., García T.M., Ricardo Abreu BlayaFuentes:scopusBiregular extendability via isotonic Clifford analysis
ArticleAbstract: We use the so-called isotonic functions to obtain extension theorems in the framework of biregular fPalabras claves:Biregular extension theorem, Clifford algebras, Isotonic functionsAutores:Peña-Peña D., Reyes J.B., Ricardo Abreu Blaya, Sommen F.Fuentes: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: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 Quaternionic Treatment of Inhomogeneous Cauchy–Riemann Type Systems in Some Traditional Theories
ArticleAbstract: In this paper we provide a necessary and sufficient condition for the solvability of inhomogeneous CPalabras claves:Cauchy–Riemann systems, Function theories for the Laplace operator, Quaternionic analysisAutores:Pérez-de la Rosa M.A., Reyes J.B., Ricardo Abreu Blaya, Schneider B.Fuentes:scopusA biregular extension theorem from a fractal surface in R<sup>2n</sup>
ArticleAbstract: The aim of this paper is to prove the characterization on a bounded domain of R2n with fractal boundPalabras claves:Biregular functions, Extension theorems, Fractals, Théodoresco transformAutores: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: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: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:scopusHermitian decomposition of continuous functions on a fractal surface
ArticleAbstract: In this paper the Théodoresco transform is used to show that, under additional assumptions, each HölPalabras claves:fractal geometry, Hermitian Clifford analysis, Théodoreco transformAutores:García T.M., Reyes J.B., Ricardo Abreu BlayaFuentes:scopus