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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: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: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: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:scopusElectromagnetic Riemann–Hilbert Boundary Value Problem in Fractal Domains of R<sup>2</sup>
ArticleAbstract: In this paper we present a hyperholomorphic (associated to the Helmholtz equation) approach to the RPalabras claves:Fractal curves, Maxwell system, Riemann–Hilbert boundary value problemAutores:Pérez Y.P., Reyes J.B., Ricardo Abreu Blaya, Schneider B.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