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Article(7)
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Mediterranean Journal of Mathematics(3)
AIMS Mathematics(1)
Advances in Applied Clifford Algebras(1)
Complex Analysis and Operator Theory(1)
Journal of Mathematical Analysis and Applications(1)
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:scopusBoundary value problems for the lamé-navier system in fractal domains
ArticleAbstract: The aim of this paper is to establish a representation formula for the solutions of the Lamé-NavierPalabras claves:Clifford analysis, fractal boundaries, Lamé-Navier system, Linear elasticityAutores:García A.M., Mendez-Bermudez J.A., Ricardo Abreu Blaya, Sigarreta J.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:scopusOn the Plane Lamé–Navier System in Fractal Domains
ArticleAbstract: This paper is devoted to study a fundamental system of equations in plane Linear Elasticity Theory,Palabras claves:Cauchy integral, Fractals, Linear elasticityAutores:Árciga Alejandre M.P., García A.M., Ricardo Abreu Blaya, Valencia D.E.G.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., Ricardo Abreu Blaya, Sigarreta-Almira J.M.Fuentes:scopusSets of Uniqueness for Infrapolymonogenic Functions
ArticleAbstract: We prove that k distinct concentric spheres are a set of uniqueness for infrapolymonogenic functionsPalabras claves:Clifford analysis, Dirac operator, inframonogenic functions, Set of uniquenessAutores:Álvarez L.M.M., García A.M., Ricardo Abreu BlayaFuentes:scopus