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scopus(9)
A Cauchy Transform for Polymonogenic Functions on Fractal Domains
ArticleAbstract: A Cauchy integral representation formula for polymonogenic functions has been established in smoothlPalabras claves:Cauchy formula, Fractals, Polymonogenic functionsAutores:Gómez J.C.H., Ricardo Abreu Blaya, Santiesteban T.R.G., Sigarreta-Almira J.M.Fuentes:scopusIntegral Representation Formulas Related to the Lamé—Navier System
ArticleAbstract: The paper provides integral representations for solutions to a certain first order partial differentPalabras claves:74B05, Clifford analysis, Dirac operator, Lamé systemAutores:Herrera-Peláez M.A., Reyes J.B., Ricardo Abreu Blaya, Sigarreta-Almira J.M.Fuentes:scopusIntegral representation formulas for higher order Dirac equations
ArticleAbstract: The aim of this paper is to establish a representation formula for the null solutions of some higherPalabras claves:Clifford analysis, Dirac equation, Integral representationAutores:García A.M., Herrera-Peláez M.A., Moreno García A., Ricardo Abreu Blaya, Sigarreta-Almira J.M.Fuentes:scopusRiemann problem for bianalytic functions on h-summable curves
ArticleAbstract: This paper is concerned with the Riemann problem for bianalytic functions on a closed Jordan curve wPalabras claves:Bianalytic functions, Fractals, Riemann problemAutores:De la Cruz M.P.C., José Luis Sánchez-Santiesteban, Ricardo Abreu Blaya, Sánchez Santiesteban J.L., Sigarreta-Almira J.M.Fuentes:scopusA jump problem for an iterated Lamé–Navier system in Rm
ArticleAbstract: In this paper, we reconstruct the solution of an iterated Lamé–Navier system from jump type conditioPalabras claves:Dirac operator, jump problem, Lamé-Navier systemAutores:Arsenio Moreno García, Herrera-Peláez M.A., Ricardo Abreu Blaya, Sigarreta-Almira J.M.Fuentes:scopusAdditive decompositions of the displacement vector of the Lamé-Navier system
ArticleAbstract: In the context of Clifford analysis, the inframonogonic functions arise as the solutions of a non-coPalabras claves:Clifford analysis, inframonogenic functions, Lamé-Navier system, structural setsAutores:José Luis Sánchez-Santiesteban, Ricardo Abreu Blaya, Santiesteban D.A., Sigarreta-Almira J.M.Fuentes:scopusFractional Fischer decompositions by inframonogenic functions
ArticleAbstract: Inframonogenic functions can be viewed as a non-commutative version of the more traditional harmonicPalabras claves:Clifford analysis, Fischer decomposition, Fractional Calculus, inframonogenic functionsAutores:Pérez Y.P., Ricardo Abreu Blaya, Santiesteban D.A., Sigarreta-Almira J.M.Fuentes:scopusA cauchy transform for polyanalytic functions on fractal domains
ArticleAbstract: A polyanalytic Cauchy transform over fractal curves is introduced and discussed, which allows us toPalabras claves:Cauchy transform, Fractal domains, Polyanalytic functionsAutores:Reyes J.B., Ricardo Abreu Blaya, Santiesteban T.R.G., Sigarreta-Almira J.M.Fuentes:scopusOn the self-conjugateness of differential forms on bounded domains
ArticleAbstract: SupposeΩis a bounded domain in ℝ<sup>n</sup> with boundary Γ and let W be a non-homogeneous differenPalabras claves:Clifford analysis, Self-conjugate differential formsAutores:Amaya E.M., Reyes J.B., Ricardo Abreu Blaya, Sigarreta-Almira J.M.Fuentes:scopus