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Associated Spaces in Clifford Analysis
ArticleAbstract: In this paper we give a characterization of all linear first order partial differential operators wiPalabras claves:Associated spaces, Clifford algebras, Initial value problems, Monogenic functionsAutores:Bolívar Y., Carmen Judith Vanegas Espinoza, Lezama L., Mármol L.G.Fuentes: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:scopusFundamental Solutions for the First Order Meta-Monogenic Operator
ArticleAbstract: Using Clifford-type algebras depending on parameters we give explicit representations for fundamentaPalabras claves:Cauchy-Pompeiu Formula, Clifford-type algebras depending on parameters, Fundamental solutions, metamonogenic functionsAutores:Antonio Nicola Di Teodoro, Carmen Judith Vanegas EspinozaFuentes: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: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:googlescopusOperators Associated to the Cauchy-Riemann Operator in Elliptic Complex Numbers
ArticleAbstract: In this article we provide a generalized version of the result of L. H. Son and W. Tutschke [2] on tPalabras claves:Associated differential operator, Initial value problems, parameter-depending elliptic complex numbersAutores:Alayón-Solarz D., Carmen Judith Vanegas EspinozaFuentes: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:scopusRarita-Schwinger Type Operators on Cylinders
ArticleAbstract: Here we define Rarita-Schwinger operators on cylinders and construct their fundamental solutions. FuPalabras claves:conformal spinor bundle on cylinder, fundamental solution, Rarita-Schwinger operator on cylinderAutores:Carmen Judith Vanegas Espinoza, Li J., Ryan J.Fuentes:googlescopus