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Cauchy integral and singular integral operator over closed Jordan curves
ArticleAbstract: This paper is mostly a review paper. It contains a description of old and recent results concerningPalabras claves:boundary value problem, Cauchy integral, Singular integral operatorAutores:Kats B.A., Reyes J.B., Ricardo Abreu BlayaFuentes:scopusApproximate dimension applied to criteria for monogenicity on fractal domains
ArticleAbstract: Suppose that Ω is a bounded domain of ℝn with a fractal boundary Γ and let ℝ0,n be the real CliffordPalabras claves:Clifford analysis, Fractals, jump problemAutores:Kats B.A., Reyes J.B., Ricardo Abreu BlayaFuentes:scopusOn Riemann boundary value problems for null solutions of the two dimensional Helmholtz equation
ArticleAbstract: The Riemann boundary value problem (RBVP to shorten notation) in the complex plane, for different clPalabras claves:Boundary value problems, Helmholtz equations, Quaternionic analysisAutores:Kats B.A., Reyes J.B., Ricardo Abreu Blaya, Rodríguez–Dagnino R.M.Fuentes:scopusIntegration over non-rectifiable curves and Riemann boundary value problems
ArticleAbstract: In this paper we introduce an alternative way of defining the curvilinear Cauchy integral over non-rPalabras claves:Cauchy integral, Douglis algebra, Fractional dimension, Non-rectifiable curve, Riemann boundary value problemAutores:Kats B.A., Reyes J.B., Ricardo Abreu BlayaFuentes:scopus