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Complex Analysis and Operator Theory(4)
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Advances in Applied Clifford Algebras(3)
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scopus(40)
Comparing Harmonic and Inframonogenic Functions in Clifford Analysis
ArticleAbstract: Harmonic functions are the solutions of the second-order partial differential equation ∂x̲∂x̲u=0, whPalabras claves:Clifford analysis, harmonic functions, inframonogenic functionsAutores:García A.M., García T.M., Ricardo Abreu BlayaFuentes:scopusAnalytic 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:scopusAnnihilators for Harmonic Differential Forms Via Clifford Analysis
ArticleAbstract: In this paper we describe completely the annihilators of harmonic differential forms into the CliffoPalabras claves:Clifford analysis, duality theory, Harmonic formsAutores:Delanghe R., Reyes J.B., Ricardo Abreu Blaya, Sommen F.Fuentes:scopus2D 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 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 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 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