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Boundary Value Problems on Fractal Hypersurfaces for the Quaternionic Hermitian System in (Formula presented.)
ArticleAbstract: In this paper we formulate and study Dirichlet and jump problems on fractal hypersurfaces in (FormulPalabras claves:Boundary value problems, Fractal surfaces, Quaternionic Hermitian Clifford analysisAutores:Brackx F., De Schepper H., Moreno García T., 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:scopusA Holomorphic Extension Theorem using Clifford Analysis
ArticleAbstract: In this paper a new holomorphic extension theorem is presented using Clifford analysis. © 2009 BirkhPalabras claves:Clifford analysis, Holomorphic extension, Isotonic functionsAutores:Peña-Peña D., Reyes J.B., Ricardo Abreu Blaya, Sommen F.Fuentes:scopusA Quaternionic Treatment of Inhomogeneous Cauchy–Riemann Type Systems in Some Traditional Theories
ArticleAbstract: In this paper we provide a necessary and sufficient condition for the solvability of inhomogeneous CPalabras claves:Cauchy–Riemann systems, Function theories for the Laplace operator, Quaternionic analysisAutores:Pérez-de la Rosa M.A., Reyes J.B., Ricardo Abreu Blaya, Schneider B.Fuentes:scopusCauchy Integral Formulae in Quaternionic Hermitean Clifford Analysis
ArticleAbstract: The theory of complex Hermitean Clifford analysis was developed recently as a refinement of EuclideaPalabras claves:Cauchy integral formula, Quaternionic Hermitean Clifford analysisAutores:Brackx F., De Schepper H., Reyes J.B., Ricardo Abreu Blaya, Sommen F.Fuentes:scopusDuality for Hermitean Systems in ℝ <sup>2n</sup>
ArticleAbstract: In this paper, using the ring structure of the space of circulant (2 × 2)-matrix, we characterize thPalabras claves:duality theory, Hermitean Clifford analysisAutores:Delanghe R., Reyes J.B., Ricardo Abreu Blaya, Sommen F.Fuentes:scopusHilbert and Poincaré-Bertrand Formulas in Polyanalytic Function Theory Involving Higher Order Lipschitz Classes
ArticleAbstract: In the present work we obtain some analogues of the Hilbert formulas on the unit circle for iteratedPalabras claves:higher order Lipschitz classes, Hilbert formulas, Iterated Cauchy-Riemann operator, Poincaré-Bertrand formulaAutores:Pérez-de la Rosa M.A., Reyes J.B., Ricardo Abreu Blaya, Schneider B.Fuentes:scopusOn the compactness of the hypercomplex commutator in hölder continuous functions spaces
ArticleAbstract: This paper is devoted to the compactness of the hypercomplex commutator SγMa-MaSγ, where Sγ is the CPalabras claves:Cauchy type integral, Commutators, Douglis algebrasAutores:Reyes J.B., Ricardo Abreu Blaya, Vilaire J.M.Fuentes:scopusOn the notion of the Bochner-Martinelli integral for domains with rectifiable boundary
ArticleAbstract: In this paper we discuss the notion of the Bochner-Martinelli kernel for domains with rectifiable boPalabras claves:Bochner-Martinelli integral, Quaternionic analysis, RectifiabilityAutores:Reyes J.B., Ricardo Abreu Blaya, Shapiro M.Fuentes:scopusMinkowski dimension and cauchy transform in Clifford analysis
ArticleAbstract: In the present paper we provide some conditions of a geometrical character for continuous extendibilPalabras claves:Cauchy transform, Clifford analysis, Geometric measure theoryAutores:García T.M., Reyes J.B., Ricardo Abreu BlayaFuentes:scopus