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Compound Riemann Hilbert Boundary Value Problems in Complex and Quaternionic Analysis
ArticleAbstract: The aim of this paper is the study of a class of compound boundary value problems for the homogeneouPalabras claves:Quaternionic analysis, Riemann Hilbert problemsAutores:Reyes J.B., Ricardo Abreu Blaya, Tamayo-Castro C.D.Fuentes:scopusAnnihilators for Harmonic Differential Forms Via Clifford Analysis
ArticleAbstract: In this paper we describe completely the annihilators of harmonic differential forms into the CliffoPalabras claves:Clifford analysis, duality theory, Harmonic formsAutores:Delanghe R., Reyes J.B., Ricardo Abreu Blaya, Sommen F.Fuentes:scopus2D Quaternionic Time-Harmonic Maxwell System in Elliptic Coordinates
ArticleAbstract: In this paper we consider the 2D time–harmonic Maxwell equations in elliptic coordinates through cerPalabras claves:elliptic coordinates, Maxwell Equations, Quaternionic analysisAutores:Ávila–Ávila R., Reyes J.B., Ricardo Abreu Blaya, Rodríguez–Dagnino R.M.Fuentes:scopusA Cauchy Integral Formula for Inframonogenic Functions in Clifford Analysis
ArticleAbstract: In this paper we derive a Cauchy integral representation formula for the solutions of the sandwich ePalabras claves:Cauchy integral formula, Clifford analysis, Dirac operatorAutores:García A.M., García T.M., Reyes J.B., Ricardo Abreu BlayaFuentes:scopusCorrection to: Poincaré–Bertrand and Hilbert formulas for the Cauchy–Cimmino Singular Integrals (Advances in Applied Clifford Algebras, (2017), 27, 4, (2933-2960), 10.1007/s00006-017-0809-8)
OtherAbstract: Unfortunately, the name of the communicating editor has been published incorrectly. The correct namePalabras claves:Autores:Pérez-de la Rosa M.A., Reyes J.B., Ricardo Abreu Blaya, Schneider B.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: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:scopusIsomorphisms of Partial Differential Equations in Clifford Analysis
ArticleAbstract: This paper studies some systems of second order partial differential equations associated to a DiracPalabras claves:Clifford analysis, Dirac operator, structural setsAutores:Ricardo Abreu Blaya, Santiesteban D.A.Fuentes:scopusPoincaré–Bertrand and Hilbert formulas for the Cauchy–Cimmino singular integrals
ArticleAbstract: The Cimmino system offers a natural and elegant generalization to four-dimensional case of the CauchPalabras claves:Cimmino system, Hilbert formulas, Poincaré–Bertrand formula, Quaternionic analysisAutores:Pérez-de la Rosa M.A., Reyes J.B., Ricardo Abreu Blaya, Schneider B.Fuentes:scopusThe isotonic Cauchy transform
ArticleAbstract: Starting with an integral representation for the class of continuously differentiable solutions f :Palabras claves:Clifford analysis, Isotonic functions, Sokhotski-plemelj formulaeAutores:Peña-Peña D., Reyes J.B., Ricardo Abreu Blaya, Sommen F.Fuentes:scopus