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Advances in Applied Clifford Algebras(4)
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scopus(13)
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:googlescopusA 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:googlescopusA boundary value problem for monogenic functions in parameter-depending Clifford algebras
ArticleAbstract: In this article a Dirichlet problem in R<sup>3</sup> is solved for functions which are monogenic witPalabras claves:A Dirichlet problem for monogenic functions, Clifford algebras depending on parameters, Monogenic functionsAutores:Carmen Judith Vanegas Espinoza, Tutschke W.Fuentes:googlescopusSpectral analysis of the semigroup associated to a mixed functional differential equation
ArticleAbstract: In this article we present an spectral analysis of the semigroup associated to certain mixed functioPalabras claves:Asymptotic distribution of eigenvalues, Mixed functional differential equations, SemigroupsAutores:Carmen Judith Vanegas Espinoza, Iakovleva V.Fuentes: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:googlescopusAsymptotic formulas for the solutions of integro-differential equations
ArticleAbstract: We study the problem of asymptotic integration of the linear integro-differential equation ft x<sup>Palabras claves:Autores:Carmen Judith Vanegas Espinoza, Naulin R.Fuentes:googlescopusGeneral 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:googlescopusInterior estimates in the sup-norm for a class of generalized functions with integral representations
ArticleAbstract: In this paper we construct apriori estimates for the first order derivatives in the sup-norm for firPalabras claves:Clifford type algebras, Initial value problems of Cauchy-Kovaleskaya type, Interior estimates of solutions of elliptic equations, Meta-monogenic functionsAutores:Antonio Di Teodoro, Antonio Nicola Di Teodoro, Carmen Judith Vanegas Espinoza, Eusebio Ariza GarcíaFuentes:googlescopusFirst 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:googlescopus