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Boundary value problems associated to a Hermitian Helmholtz equation
ArticleAbstract: As is the case for the Laplace operator, in Euclidean Clifford analysis also the Helmholtz operatorPalabras claves:Boundary value problems, Helmholtz equations, Hermitian Clifford analysisAutores:Brackx F., De Schepper H., Reyes J.B., Ricardo Abreu Blaya, Sommen F.Fuentes: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:scopusCauchy transform on nonrectifiable surfaces in Clifford analysis
ArticleAbstract: The problem of reconstructing a monogenic Clifford algebra valued function on the boundary Γ of a gePalabras claves:Cauchy transform, Clifford analysis, RectifiabilityAutores:Moreno García T., Reyes J.B., Ricardo Abreu BlayaFuentes:scopusDirichlet type problems in Hermitian Clifford analysis
ArticleAbstract: Solvability conditions for some Dirichlet type boundary value problems in the framework of HermitianPalabras claves:Boundary value and extension problems for solutions of partial differential equations, Hermitian Clifford analysisAutores:Brackx F., De Schepper H., Moreno García T., Reyes J.B., Ricardo Abreu Blaya, Sommen F.Fuentes:scopusHyperanalytic Riemann boundary value problem on d-summable closed curves
ArticleAbstract: We are interested in finding solvability conditions for the Riemann boundary value problems for hypePalabras claves:Fractal dimensions, hyperanalytic functions, Riemann boundary value problemAutores:Reyes J.B., Ricardo Abreu Blaya, Vilaire J.M.Fuentes:scopusOn the Plemelj–Privalov theorem in Clifford analysis involving higher order Lipschitz classes
ArticleAbstract: The main purpose of this work is to prove that the higher order Lipschitz classes behave invariant uPalabras claves:Clifford Cauchy transform, higher order Lipschitz classes, Polymonogenic functionsAutores:De la Cruz-Toranzo L., Reyes J.B., Ricardo Abreu BlayaFuentes:scopusOn the Π-operator in Clifford analysis
ArticleAbstract: In this paper we prove that a generalization of complex Π-operator in Clifford analysis, obtained byPalabras claves:Beltrami equation, Clifford analysis, Pi-operator, Teodorescu transformAutores:Guzmán Adán A., Kähler U., Reyes J.B., Ricardo Abreu BlayaFuentes:scopusIntegral formulas of the Hilbert, Poincaré-Bertrand, Schwarz and Poisson type for the β–analytic function theory
ArticleAbstract: In the present work we obtain some analogues of the Hilbert formulas on the unit circle and on the uPalabras claves:Hilbert formulas, Poincaré–Bertrand formulas, Poisson formulas, Schwarz formulas, β–analytic functionsAutores:Pérez-de la Rosa M.A., Reyes J.B., Ricardo Abreu Blaya, Schneider B.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:scopusIntegration over non-rectifiable curves and Riemann boundary value problems
ArticleAbstract: In this paper we introduce an alternative way of defining the curvilinear Cauchy integral over non-rPalabras claves:Cauchy integral, Douglis algebra, Fractional dimension, Non-rectifiable curve, Riemann boundary value problemAutores:Kats B.A., Reyes J.B., Ricardo Abreu BlayaFuentes:scopus