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Analytic 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:scopusGeneralizations of harmonic functions in R<sup>m</sup>
ArticleAbstract: In recent works, arbitrary structural sets in the non-commutative Clifford analysis context have beePalabras claves:Clifford analysis, harmonic functions, structural setsAutores:Pérez Y.P., Ricardo Abreu Blaya, Santiesteban D.A.Fuentes:scopusDirichlet Type Problem for 2D Quaternionic Time-Harmonic Maxwell System in Fractal Domains
ArticleAbstract: We investigate an electromagnetic Dirichlet type problem for the 2D quaternionic time-harmonic MaxwePalabras claves:Autores:Bosch P., Pérez Y.P., Reyes J.B., Ricardo Abreu BlayaFuentes:scopusHölder norm estimate for the fractal Hilbert transform in Douglis analysis
ArticleAbstract: The main goal of this paper is to estimate the Hölder norm of a fractal version of the Hilbert transPalabras claves:Fractal dimensions, h-summables curves, Hilbert Transform, Hölder functions, hyperanalytic functions, Whitney decompositionAutores:Árciga Alejandre M.P., Pérez Y.P., Reyes J.B., Ricardo Abreu BlayaFuentes:scopusOn the Riemann problem in fractal elastic media
ArticleAbstract: In this paper we study a kind of Riemann problem for the Lamé–Navier system in the plane on a smoothPalabras claves:Kolosov–Muskhelishvili formula, Linear elasticity, Riemann problemAutores:Árciga Alejandre M.P., Pérez Y.P., Ricardo Abreu Blaya, Valencia D.E.G.Fuentes:scopusRiemann and Dirichlet Type Problems for Hyperanalytic Functions in Fractal Domains
ArticleAbstract: In this paper we are interested in finding solvability conditions for Riemann and Dirichlet type bouPalabras claves:Fractal dimensions, h-summables curves, Hölder functions, hyperanalytic functions, Whitney decompositionAutores:Árciga Alejandre M.P., Pérez Y.P., Reyes J.B., Ricardo Abreu BlayaFuentes:scopus