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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 ℝ<sup>3</sup> for the equation D<sup>n</sup>Palabras 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:googlescopusψ-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:googlescopusSecond Order Differential Operators Associated to the Space of Holomorphic Functions
Abstract: Let ℱ be a given differential operator, then a function space X is called an associated space to ℱ iPalabras claves:Autores:Carmen Judith Vanegas Espinoza, Rossodivita G.Fuentes:scopusGeneralized 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:googlescopusLearning mathematics through thought processes
ArticleAbstract: For students who had one final chance to pass Mathematics I (MA1111), the subject MA0002 was createdPalabras claves:emotions, Learning, learning strategies, Mathematics, Thought processesAutores:Albornoz A., Carmen Judith Vanegas Espinoza, Meier A.Fuentes:scopusOn Weighted Dirac Operators and Their Fundamental Solutions for Anisotropic Media
ArticleAbstract: The heat transfer problem in isotropic media has been studied extensively in Clifford analysis, butPalabras claves:Clifford algebras depending on parameters, Fundamental solutions, Second-order elliptic equationsAutores:Carmen Judith Vanegas Espinoza, Franklin A. VargasFuentes:scopusIn memoriam of Professor Wolfgang Tutschke (September 28th 1934 -April 28th 2021)
OtherAbstract:Palabras claves:Autores:Carmen Judith Vanegas Espinoza, Nino G. Manjavidze, Saúl Buitrago BoretFuentes: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:scopusWeighted spherical monogenics
OtherAbstract: It is well known in Clifford analysis that monogenic functions are solutions of the Dirac operator aPalabras claves:Autores:Benjamin De Zayas Nunez, Carmen Judith Vanegas EspinozaFuentes:scopus