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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:googlescopusAn Integral Representation Formula for Multi Meta- φ -Monogenic Functions of Second Class
ArticleAbstract: Consider the following operator (Formula presented.)where φ(j) is a Clifford-valued function and λ(jPalabras claves:Clifford algebras, Clifford type algebras depending on parameters, Metamonogenic function, Monogenic function, Multi meta-φ-monogenic function, Multi-meta-monogenic functionAutores:Antonio Nicola Di Teodoro, 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: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: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: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:googlescopus