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Biquaternionic Reformulation of a Fractional Monochromatic Maxwell System
ArticleAbstract: In this work, we propose a biquaternionic reformulation of a fractional monochromatic Maxwell systemPalabras claves:Autores:Árciga Alejandre M.P., Pérez Y.P., Reyes J.B., Ricardo Abreu BlayaFuentes:scopusBoundary value problems for Dirac operators and Maxwell's equations in fractal domains
ArticleAbstract: Some boundary value problems are solved for time-harmonic electromagnetic fields on fractal domains,Palabras claves:Electromagnetic fields, Fractals, Maxwell Equations, Quaternionic analysisAutores:Ávila-Ávila R., Reyes J.B., Ricardo Abreu BlayaFuentes:scopusA note on the Bochner-Martinelli integral
ArticleAbstract: Let Ω be a simply connected bounded domain in C2 with boundary an Ahlfors David regular surface Γ anPalabras claves:Ahlfors David regular surfaces, Bochner-Martinelli integral, Quaternionic 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:scopusGeneralized Moisil-Théodoresco systems and cauchy integral decompositions
ArticleAbstract: Let ℝ0,m+1(s) be the space of s-vectors (0 ≤ s ≤ m + 1) in the Clifford algebra ℝ0,m+1 constructed oPalabras claves:Autores:Delanghe R., Reyes J.B., Ricardo Abreu Blaya, Sommen F.Fuentes:scopusDuality for Hermitean Systems in ℝ <sup>2n</sup>
ArticleAbstract: In this paper, using the ring structure of the space of circulant (2 × 2)-matrix, we characterize thPalabras claves:duality theory, Hermitean Clifford analysisAutores:Delanghe R., Reyes J.B., Ricardo Abreu Blaya, Sommen F.Fuentes:scopusIntegral representation formulas for higher order Dirac equations
ArticleAbstract: The aim of this paper is to establish a representation formula for the null solutions of some higherPalabras claves:Clifford analysis, Dirac equation, Integral representationAutores:García A.M., Herrera-Peláez M.A., Ricardo Abreu Blaya, Sigarreta-Almira J.M.Fuentes:scopusInvariant subspace for a singular integral operator on Ahlfors David surfaces
ArticleAbstract: In this paper the singular integral operator on Ahlfors-David surfaces is shown to have an invariantPalabras claves:Ahlfors David surfaces, Quaternionic analysis, Singular integralAutores: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