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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: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: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:30G30, 31B10, 31B30, 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., 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:30E25, Bianalytic functions, Fractals, Riemann problemAutores:De la Cruz M.P.C., Ricardo Abreu Blaya, Sánchez Santiesteban J.L., Sigarreta-Almira J.M.Fuentes:scopus