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A Dirichlet problem for powers of the generalized Cauchy-Riemann operator
ArticleAbstract: Abstract: In this paper we solve a Dirichlet problem in ℝ3 for the equation Dnu = 0, where Dn is thePalabras claves:Clifford-type algebras depending on parameters, Dirichlet problems in Clifford analysis, powers of the generalized Cauchy-Riemann operatorAutores:Antonio Di Teodoro, Antonio Nicola Di Teodoro, Carmen Judith Vanegas EspinozaFuentes:googlescopusA Robin boundary value problem in the upper half plane for the Bitsadze equation
ArticleAbstract: In this article we give the solvability conditions and an integral representation of the solution ofPalabras claves:Bitsadze equation, Robin boundary conditionAutores:Carmen Judith Vanegas Espinoza, Linares Y.Fuentes:scopusA boundary value problem for monogenic functions in parameter-depending Clifford algebras
ArticleAbstract: In this article a Dirichlet problem in R3 is solved for functions which are monogenic with respect tPalabras claves:A Dirichlet problem for monogenic functions, Clifford algebras depending on parameters, Monogenic functionsAutores:Carmen Judith Vanegas Espinoza, Tutschke W.Fuentes:googlescopusAssociated operators to the space of meta-q-monogenic functions
Book PartAbstract: We are giving a characterization of all linear first order partial differential operators with CliffPalabras claves:Associated spaces, Clifford algebras, Meta-q monogenic functionsAutores:Carmen Judith Vanegas Espinoza, Franklin A. VargasFuentes:scopusFundamental 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:scopusGeneral Algebraic Structures of Clifford Type and Cauchy-Pompeiu Formulae for Some Piecewise Constant Structure Relations
ArticleAbstract: The paper starts with generalization of Clifford algebras using other structure relations which possPalabras claves:Cauchy-Pompeiu integral formula, Clifford type algebras, Fundamental solutions, piecewise constant structure relationsAutores:Carmen Judith Vanegas Espinoza, Tutschke W.Fuentes:googlescopusGeneralized Cauchy-Riemann-type operators and some integral representation formulas
Conference ObjectAbstract: We introduce some generalized Cauchy-Riemann-type operators. For some of them we give integral reprePalabras claves:Boundary value problems, Cauchy-Riemann operators, Clifford algebras, Fundamental solutionsAutores:Antonio Di Teodoro, Antonio Nicola Di Teodoro, Bolívar Y., Carmen Judith Vanegas EspinozaFuentes:googlescopusFirst 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: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