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On the Laplacian vector fields theory in domains with rectifiable boundary
ArticleAbstract: Given a domain Ω in ℝ3 with rectifiable boundary, we consider main integral, and some other, theoremPalabras claves:Cauchy transform, Quaternionic analysis, Vector fields theoryAutores:Reyes J.B., Ricardo Abreu Blaya, Shapiro 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:scopus∂̄-problem in domains of C <sup>2</sup> in terms of hyper-conjugate harmonic functions
ArticleAbstract: Given a Jordan domain of C 2, we consider the ∂̄-problem and establish a necessary and sufficient coPalabras claves:Borel-Pompeiu formula, Cauchy-Fueter operator, hyper-conjugate harmonic functions, Théodoresco operator, ∂̄-problemAutores:Luna-Elizarrarás M., Reyes J.B., Ricardo Abreu Blaya, Shapiro M.Fuentes:scopusThe Clifford-Cauchy transform with a continuous density: N. Davydov's theorem
ArticleAbstract: N. A. Davydov was among the first mathematicians who investigated the question of the continuity ofPalabras claves:Cauchy transform, Clifford analysis, Multivector fieldsAutores:Gerus O.F., Reyes J.B., Ricardo Abreu Blaya, Shapiro M.Fuentes:scopusThe cauchy transform for the hodge/de rham system and some of its properties
ArticleAbstract: We study the analogue of the Cauchy transform for the theory of solutions of the Hodge/de Rham systePalabras claves:Cauchy transform, Clifford analysis, differential forms, Hodge/de Rham systemAutores:Reyes J.B., Ricardo Abreu Blaya, Shapiro M.Fuentes:scopus