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Harmonic multivector fields and the Cauchy integral decomposition in Clifford analysis
ArticleAbstract: In this paper we study the problem of decomposing a Hölder continuous k-grade multivector field Fk oPalabras claves:Cauchy transform, Clifford analysis, Multivector fieldsAutores:Delanghe R., Reyes J.B., Ricardo Abreu Blaya, Sommen F.Fuentes:scopusHartogs extension theorem for functions with values in complex clifford algebras
ArticleAbstract: A regular extension phenomenon of functions defined on Euclidean space with values in a Clifford algPalabras claves:Clifford analysis, Hartogs extension theoremAutores:Reyes J.B., Ricardo Abreu BlayaFuentes:scopusHermitean téodorescu transform decomposition of continuous matrix functions on fractal hypersurfaces
ArticleAbstract: We consider Hölder continuous circulant (2 × 2) matrix functions G 21 defined on the fractal boundarPalabras claves:Autores:Brackx F., De Schepper H., Reyes J.B., Ricardo Abreu BlayaFuentes:scopusHermitian decomposition of continuous functions on a fractal surface
ArticleAbstract: In this paper the Théodoresco transform is used to show that, under additional assumptions, each HölPalabras claves:fractal geometry, Hermitian Clifford analysis, Théodoreco transformAutores:García T.M., Reyes J.B., Ricardo Abreu BlayaFuentes: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:scopusHolomorphic extension theorems in lipschitz domains of C<sup>2</sup>
ArticleAbstract: The holomorphic functions of several complex variables are closely related to the continuously diffePalabras claves:Clifford analysis, Isotonic functions, Sokhotski-plemelj formulaeAutores:Peña-Peña D., 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:scopusHypercomplex singular integral equation reduces to two riemann problems
ArticleAbstract: This article is devoted to the study of a hypercomplex singular integral equation, which contains asPalabras claves:Douglis algebra, Riemann problem, Singular integral equationsAutores:Reyes J.B., Ricardo Abreu Blaya, Vilaire J.M.Fuentes:scopusHölder norm estimate for a Hilbert transform in Hermitean Clifford analysis
ArticleAbstract: A Hilbert transform for Hölder continuous circulant (2 × 2) matrix functions, on the d-summable (orPalabras claves:fractal geometry, Hermitean Clifford analysis, Hilbert TransformAutores:Brackx F., De Schepper H., Reyes J.B., Ricardo Abreu Blaya, Sommen F.Fuentes:scopusHölder norm estimate for the fractal Hilbert transform in Douglis analysis
ArticleAbstract: The main goal of this paper is to estimate the Hölder norm of a fractal version of the Hilbert transPalabras claves:Fractal dimensions, h-summables curves, Hilbert Transform, Hölder functions, hyperanalytic functions, Whitney decompositionAutores:Árciga Alejandre M.P., Pérez Y.P., Reyes J.B., Ricardo Abreu BlayaFuentes:scopus