Mostrando 10 resultados de: 82
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Complex Analysis and Operator Theory(11)
Journal of Mathematical Analysis and Applications(9)
Analysis and Mathematical Physics(6)
Advances in Applied Clifford Algebras(5)
Mathematical Methods in the Applied Sciences(5)
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scopus(82)
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: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:scopusExtension theorem for complex clifford algebras-valued functions on fractal domains
ArticleAbstract: Monogenic extension theorem of complex Clifford algebras-valued functions over a bounded domain withPalabras claves:Autores:Bosch P., Reyes J.B., Ricardo Abreu BlayaFuentes:scopusGeneralizations of harmonic functions in R<sup>m</sup>
ArticleAbstract: In recent works, arbitrary structural sets in the non-commutative Clifford analysis context have beePalabras claves:Clifford analysis, harmonic functions, structural setsAutores:Pérez Y.P., Ricardo Abreu Blaya, Santiesteban D.A.Fuentes:scopusGeneralized Moisil-Théodoresco systems and cauchy integral decompositions
ArticleAbstract: Let ℝ0,m+1(s) be the space of s-vectors (0 ≤ s ≤ m + 1) in the Clifford algebra ℝ0,m+1 constructed oPalabras claves:Autores:Delanghe R., Reyes J.B., Ricardo Abreu Blaya, Sommen F.Fuentes:scopus