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Article(5)
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Mathematical Methods in the Applied Sciences(2)
Complex Analysis and Operator Theory(1)
Complex Variables and Elliptic Equations(1)
Georgian Mathematical Journal(1)
Origen
scopus(5)
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