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Advances in Applied Clifford Algebras(4)
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Cauchy–Pompeiu formula for multi-meta-weighted-monogenic functions of first class
ArticleAbstract: In this paper we give a Cauchy–Pompeiu type integral formula for a class of functions called multi-mPalabras claves:Clifford type algebras, Meta-monogenic functions, Meta-n-weighted-monogenic functions, Monogenic functions, Multi-meta-weighted- monogenic functionsAutores:Antonio Nicola Di Teodoro, Eusebio Ariza GarcíaFuentes:googlescopusFundamental 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:scopusFirst 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:scopusInterior 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:googlescopusMulti Mq-monogenic function in different dimension
Conference ObjectAbstract: A metamonogenic of first-order function or simply metamonogenic function is a function that satisfiePalabras claves:Clifford algebras, Clifford type depending on parameters, Metamonogenic function, Monogenic function, Multi Mq-monogenic functions, Multi-metamonogenic functionAutores:Antonio Nicola Di Teodoro, Eusebio Ariza GarcíaFuentes:scopusOne dimensional octonion Fourier Transform
ArticleAbstract: The main purpose of this paper is to study a one dimensional octonion Fourier transform. We prove soPalabras claves:Inversion Formula, Octonionic Fourier Transform, OctonionsAutores:Carmen Vanegas Espinosa, Claudia Jimenez Hebkp_redia, Eusebio Ariza GarcíaFuentes:scopusSufficient Conditions for First-Order Differential Operators to be Associated with a q-Metamonogenic Operator in a Clifford Type Algebra
ArticleAbstract: Consider the initial value problem (Formula presented.), where t is the time, L is a linear first-orPalabras claves:associated operators, Associated spaces, Initial value problem, Interior estimatesAutores:Antonio Nicola Di Teodoro, Eusebio Ariza García, Franklin A. Vargas, Sapiain M.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