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Advances in Applied Clifford Algebras(3)
Archivum Mathematicum(1)
Complex Analysis and Operator Theory(1)
Complex Variables and Elliptic Equations(1)
Quaestiones Mathematicae(1)
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Optimización matemática(5)
A Dirichlet Problem for the First Order Inhomogeneous Meta-Monogenic Equation in Parameter Depending Clifford Algebras
ArticleAbstract: Using Clifford-type algebras depending on parameters we solve a Dirichlet problem for the first ordePalabras claves:Clifford-type algebras depending on parameters, Dirichlet problem, Meta-monogenic functionsAutores:Antonio Di Teodoro, Antonio Nicola Di Teodoro, Carmen Judith Vanegas EspinozaFuentes:googlescopusAssociated 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:scopusInitial value problems in Clifford-type analysis
ArticleAbstract: We consider an initial value problem of type where t is the time, x ∈ ℝn+1 and u is a Clifford-typePalabras claves:associated operators, Clifford-type algebra depending on parameters, Initial value problemAutores:Bolívar Y., Carmen Judith Vanegas EspinozaFuentes:scopusInterior 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:googlescopusRarita-Schwinger type operators on spheres and real projective space
ArticleAbstract: In this paper we deal with Rarita-Schwinger type operators on spheres and real projective space. FirPalabras claves:Almansi-Fischer decomposition, Cayley transformation, Iwasawa decomposition, Real projective space, Spherical Rarita-Schwinger type operatorsAutores:Carmen Judith Vanegas Espinoza, Junxia L., Ryan J.Fuentes:scopusψ-weighted Cauchy-Riemann operators and some associated integral representation
ReviewAbstract: In the present work we introduce a weighted Cauchy-Riemann type operator in the complex plane, wherePalabras claves:Cauchy integral formula, Cauchy-Pompeiu integral formula, elliptic operator, Weighted Cauchy-Riemann operatorAutores:Antonio Di Teodoro, Antonio Nicola Di Teodoro, Carmen Judith Vanegas Espinoza, Eusebio Ariza GarcíaFuentes:googlescopus