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scopus(102)
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 Bimonogenic Cauchy Transform on Higher Order Lipschitz Classes
ArticleAbstract: We prove that a Cauchy transform naturally arising for bimonogenic Clifford algebra valued functionsPalabras claves:Bimonogenic functions, Cauchy transform, higher order Lipschitz classesAutores:De la Cruz-Toranzo L., García A.M., García T.M., Reyes J.B., Ricardo Abreu BlayaFuentes:scopusA Cauchy Integral Formula for Inframonogenic Functions in Clifford Analysis
ArticleAbstract: In this paper we derive a Cauchy integral representation formula for the solutions of the sandwich ePalabras claves:Cauchy integral formula, Clifford analysis, Dirac operatorAutores:García A.M., García T.M., Reyes J.B., Ricardo Abreu BlayaFuentes:scopusA Hermitian Cauchy formula on a domain with fractal boundary
ArticleAbstract: Euclidean Clifford analysis is a higher dimensional function theory offering a refinement of classicPalabras claves:Cauchy integral, fractal geometry, Hermitian Clifford analysisAutores:Brackx F., De Schepper H., Reyes J.B., Ricardo Abreu Blaya, Sommen F.Fuentes:scopusA Hilbert Transform for Matrix Functions on Fractal Domains
ArticleAbstract: We consider Hölder continuous circulant (2 × 2) matrix functions G 21 defined on the fractal boundarPalabras claves:Cauchy integral, fractal geometry, Hermitian Clifford analysis, Hilbert TransformAutores:Brackx F., De Schepper H., Reyes J.B., Ricardo Abreu Blaya, Sommen F.Fuentes:scopusA Holomorphic Extension Theorem using Clifford Analysis
ArticleAbstract: In this paper a new holomorphic extension theorem is presented using Clifford analysis. © 2009 BirkhPalabras claves:Clifford analysis, Holomorphic extension, Isotonic functionsAutores:Peña-Peña D., Reyes J.B., Ricardo Abreu Blaya, Sommen F.Fuentes:scopusA Martinelli-Bochner formula on fractal domains
ArticleAbstract: A new perspective on a Cauchy integral formula for Clifford algebras valued functions on domains witPalabras claves:Clifford analysis, Fractals, Martinelli-Bochner formulaAutores:Reyes J.B., Ricardo Abreu BlayaFuentes: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 biregular extension theorem from a fractal surface in R<sup>2n</sup>
ArticleAbstract: The aim of this paper is to prove the characterization on a bounded domain of R2n with fractal boundPalabras claves:Biregular functions, Extension theorems, Fractals, Théodoresco transformAutores:García T.M., Reyes J.B., Ricardo Abreu BlayaFuentes:scopusA boundary value problem for hermitian monogenic functions
ArticleAbstract: We study the problem of finding a Hermitian monogenic function with a given jump on a given hypersurPalabras claves:Autores:Peña-Peña D., Reyes J.B., Ricardo Abreu Blaya, Sommen F.Fuentes:scopus