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Fundamental Solutions for Second Order Elliptic Operators in Clifford-Type Algebras
ArticleAbstract: We show fundamental solutions for some second order elliptic operators in the framework of parameterPalabras claves:Clifford-type algebras, elliptic operators, Fundamental solutions, integral representations formulaeAutores:Antonio Nicola Di Teodoro, Carmen Judith Vanegas Espinoza, Eusebio Ariza García, Infante A.Fuentes:scopusFirst Order Differential Operators Associated to the Space of Monogenic Functions in Parameter-Depending Clifford Algebras
ArticleAbstract: This paper is aimed at finding all linear first order partial differential operators (Formula presenPalabras claves:Associated spaces, Initial value problems, Parameter-depending Clifford algebrasAutores:Carmen Judith Vanegas Espinoza, Eusebio Ariza García, Franklin A. VargasFuentes:scopusFirst Order Differential Operators Associated to the Space of q-Monogenic Functions
ArticleAbstract: In this paper we characterize all the first order differential operators, with paravector coefficienPalabras claves:Associated spaces, Clifford-type algebras, Initial value problems, q-monogenic functionsAutores:Antonio Di Teodoro, Antonio Nicola Di Teodoro, Carmen Judith Vanegas Espinoza, Eusebio Ariza GarcíaFuentes:googlescopusHartog's Type Extension Theorem in Some Piecewise Constant Structure Relations For Metamonogenic Functions of First Order
ArticleAbstract: The main purpose of this paper is to study a Hartog's type extension theorem for a more general clasPalabras claves:Clifford type algebras, Hartog's type extension theorem, metamonogenic functions, multimetamonogenic functions, piecewise constant structure relationsAutores:Antonio Nicola Di Teodoro, Eusebio Ariza GarcíaFuentes:googlescopusInterior L<inf>p</inf>-Estimates for Functions in Clifford Type Algebras
ArticleAbstract: In this paper we give estimates for the first order derivatives of Clifford-type algebras valued funPalabras claves:generalized monogenic functions, integral representations, Interior estimates, monogenic functions in Clifford type algebrasAutores:Bolívar Y., Carmen Judith Vanegas Espinoza, Eusebio Ariza García, Mármol L.G.Fuentes:scopus