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2D Quaternionic Time-Harmonic Maxwell System in Elliptic Coordinates
ArticleAbstract: In this paper we consider the 2D time–harmonic Maxwell equations in elliptic coordinates through cerPalabras claves:elliptic coordinates, Maxwell Equations, Quaternionic analysisAutores:Ávila–Ávila R., Reyes J.B., Ricardo Abreu Blaya, Rodríguez–Dagnino R.M.Fuentes:scopusA Quaternionic Treatment of Inhomogeneous Cauchy–Riemann Type Systems in Some Traditional Theories
ArticleAbstract: In this paper we provide a necessary and sufficient condition for the solvability of inhomogeneous CPalabras claves:Cauchy–Riemann systems, Function theories for the Laplace operator, Quaternionic analysisAutores:Pérez-de la Rosa M.A., Reyes J.B., Ricardo Abreu Blaya, Schneider B.Fuentes:scopusA holomorphic extension theorem from a fractal hypersurface in ℂ<sup>2</sup>
ArticleAbstract: We consider the problem of identifying boundary values of holomorphic functions on bounded domains iPalabras claves:CR-functions, Holomorphic functions, Quaternionic analysisAutores:Moreno García T., 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:scopusCompound Riemann Hilbert Boundary Value Problems in Complex and Quaternionic Analysis
ArticleAbstract: The aim of this paper is the study of a class of compound boundary value problems for the homogeneouPalabras claves:Quaternionic analysis, Riemann Hilbert problemsAutores:Reyes J.B., Ricardo Abreu Blaya, Tamayo-Castro C.D.Fuentes: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:scopusBoundary value problems for hyperholomorphic solutions of two dimensional Helmholtz equation in a fractal domain
ArticleAbstract: A theory of quaternion-valued functions, called hyperholomorphic, of two real variables has long beePalabras claves:Boundary value problems, fractal geometry, Helmholtz equations, Quaternionic analysisAutores:Reyes J.B., Ricardo Abreu Blaya, Rodríguez–Dagnino R.M.Fuentes:scopusBoundary value problems for the Cimmino system via quaternionic analysis
ArticleAbstract: In this paper, we study a class of boundary value problems for a first order linear partial differenPalabras claves:Boundary value problems, Cimmino system, Quaternionic analysisAutores:Guzmán Adán A., Reyes J.B., Ricardo Abreu Blaya, Schneider B.Fuentes:scopusDirichlet-Type Problems for the Two-Dimensional Helmholtz Operator in Complex Quaternionic Analysis
ArticleAbstract: This study aims to study a class of Dirichlet-type problems associated with the two-dimensional HelmPalabras claves:Dirichlet-type problems, Helmholtz operator, Quaternionic analysisAutores:Hernández-Simon L.M., Reyes J.B., Ricardo Abreu Blaya, Schneider B.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:scopus