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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:scopusAnalytic Riemann boundary value problem on h-summable closed curves
ArticleAbstract: The aim of this work is to further extend the notion of d-summability due to Harrison and Norton inPalabras claves:Analytic functions, Fractal dimensions, Riemann boundary value problemAutores:García T.M., Pérez Y.P., Reyes J.B., Ricardo Abreu BlayaFuentes:scopusA 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: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 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: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: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 sharpness of condition for solving the jump problem
ArticleAbstract: Let γ be a non-rectifiable closed Jordan curve in C, which is merely assumed to be d-summable (1 < dPalabras claves:Analytic functions, Cauchy integral, Fractional dimension, jump problem, Non-rectifiable curveAutores:García T.M., Reyes J.B., Ricardo Abreu BlayaFuentes:scopus