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A Cauchy-Pompeiu Representation Formula Using Dirac Operator and its Applications in Some Piecewise Constant Structure Relations
ArticleAbstract: In the present paper we use the piecewise constant structure relations of a Clifford algebra in ordePalabras claves:Cauchy-Pompeiu Formula, Clifford analysis, fundamental solution, Integral representation, Structure relations of Clifford algebraAutores:Antonio Nicola Di Teodoro, Infante A.Fuentes:scopusGeneralized monogenic functions satisfying differential equations with anti-monogenic right-hand sides on Clifford algebras depending on parameters
ArticleAbstract: The equation Du = F(x, u) in Clifford algebras depending on parameters is considered, where D is thePalabras claves:anti-monogenic functions, Clifford algebras depending on parameters, generalized monogenic functions, interior L estimates p, Transition matrixAutores:Antonio Di Teodoro, Antonio Nicola Di TeodoroFuentes:googlescopusHartog'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:googlescopusSome Integral Representation for Meta-Monogenic Function in Clifford Algebras Depending on Parameters
ArticleAbstract: In recent years, the integral representation problems have been studied in many context and generaliPalabras claves:Clifford type algebras, Fundamental solutions, high order Cauchy-Pompeiu integral formula, Meta-monogenic functionAutores:Antonio Nicola Di Teodoro, Balderrama C., Infante A.Fuentes:scopus