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Journal of Mathematical Analysis and Applications(2)
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A 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:scopusA Hilbert Transform for Matrix Functions on Fractal Domains
ArticleAbstract: We consider Hölder continuous circulant (2 × 2) matrix functions G 21 defined on the fractal boundarPalabras claves:Cauchy integral, fractal geometry, Hermitian Clifford analysis, Hilbert TransformAutores:Brackx F., De Schepper H., Reyes J.B., Ricardo Abreu Blaya, Sommen F.Fuentes:scopusCauchy integral and singular integral operator over closed Jordan curves
ArticleAbstract: This paper is mostly a review paper. It contains a description of old and recent results concerningPalabras claves:boundary value problem, Cauchy integral, Singular integral operatorAutores:Kats B.A., Reyes J.B., Ricardo Abreu BlayaFuentes:scopusMatrix Cauchy and Hilbert transforms in Hermitian quaternionic Clifford analysis
ArticleAbstract: Recently the basic setting has been established for the development of quaternionic Hermitian CliffoPalabras claves:Cauchy integral, Hilbert Transform, Quaternionic Hermitian Clifford analysisAutores:Brackx F., De Schepper H., Reyes J.B., Ricardo Abreu Blaya, Sommen F.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:scopusThe sharpness of condition for solving the jump problem
ArticleAbstract: Let γ be a non-rectifiable closed Jordan curve in C, which is merely assumed to be d-summable (1 < dPalabras claves:Analytic functions, Cauchy integral, Fractional dimension, jump problem, Non-rectifiable curveAutores:García T.M., Reyes J.B., Ricardo Abreu BlayaFuentes:scopus