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Fundamental 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:scopusMulti 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:scopusHartog's Type Extension Theorem in Some Piecewise Constant Structure Relations For Metamonogenic Functions of First Order
ArticleAbstract: The main purpose of this paper is to study a Hartog's type extension theorem for a more general clasPalabras claves:Clifford type algebras, Hartog's type extension theorem, metamonogenic functions, multimetamonogenic functions, piecewise constant structure relationsAutores:Antonio Nicola Di Teodoro, Eusebio Ariza GarcíaFuentes:googlescopusOne 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: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: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:scopus