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A 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 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: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:scopusExtension theorem for complex clifford algebras-valued functions on fractal domains
ArticleAbstract: Monogenic extension theorem of complex Clifford algebras-valued functions over a bounded domain withPalabras claves:Autores:Bosch P., Reyes J.B., Ricardo Abreu BlayaFuentes:scopusRiemann boundary value problem for hyperanalytic functions
ArticleAbstract: We deal with Riemann boundary value problem for hyperanalytic functions. Furthermore, necessary andPalabras claves:Autores:Peña-Peña D., Reyes J.B., Ricardo Abreu BlayaFuentes:scopusOn Riemann problems for monogenic functions in lower dimensional non-commutative Clifford algebras
ArticleAbstract: In this paper, we mainly consider the Riemann boundary value problems for lower dimensional non-commPalabras claves:Cauchy–Riemann and Dirac operators, Clifford analysis, Riemann boundary value problemAutores:Reyes J.B., Ricardo Abreu Blaya, Tamayo-Castro C.D.Fuentes:scopusOn the self-conjugateness of differential forms on bounded domains
ArticleAbstract: SupposeΩis a bounded domain in ℝn with boundary Γ and let W be a non-homogeneous differential form hPalabras claves:Clifford analysis, Self-conjugate differential formsAutores:Amaya E.M., Reyes J.B., Ricardo Abreu Blaya, Sigarreta-Almira J.M.Fuentes:scopusSingular Integral Operator Involving Higher Order Lipschitz Classes
ArticleAbstract: In this paper, we investigate a singular integral operator with polyanalytic Cauchy kernel. In partiPalabras claves:Lipschitz classes, Polyanalytic functions, Singular integral operatorAutores:De la Cruz-Toranzo L., Reyes J.B., Ricardo Abreu BlayaFuentes:scopus