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Approximate 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:scopusOn the solvability of the jump problem in clifford analysis
ArticleAbstract: Let Ω be a bounded open and oriented connected subset of ℝn which has a compact topological boundaryPalabras claves:Autores:Kats B.A., Reyes J.B., Ricardo Abreu BlayaFuentes: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