Documentos de Eusebio Ariza García | REDI

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Objetivos de Desarrollo Sostenible: "ODS 4: Educación de calidad"

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Advances in Applied Clifford Algebras(5)

Bulletin of Computational Applied Mathematics(1)

Complex Analysis and Operator Theory(1)

Computational Methods and Function Theory(1)

Trends in Mathematics(1)

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Optimización matemática(7)

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ODS 17: Alianzas para lograr los objetivos(9)

ODS 9: Industria, innovación e infraestructura(9)

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Associated spaces(3)

Clifford algebras(2)

Clifford type algebras(2)

Clifford-type algebras(2)

Initial value problems(2)

An Integral Representation Formula for Multi Meta- φ -Monogenic Functions of Second Class

Abstract: Consider the following operator (Formula presented.)where φ(j) is a Clifford-valued function and λ(j

Palabras claves:

Clifford algebras, Clifford type algebras depending on parameters, Metamonogenic function, Monogenic function, Multi meta-φ-monogenic function, Multi-meta-monogenic function

Antonio Nicola Di Teodoro, Eusebio Ariza García

Fundamental Solutions for Second Order Elliptic Operators in Clifford-Type Algebras

Abstract: We show fundamental solutions for some second order elliptic operators in the framework of parameter

Palabras claves:

Clifford-type algebras, elliptic operators, Fundamental solutions, integral representations formulae

Antonio Nicola Di Teodoro, Carmen Judith Vanegas Espinoza, Eusebio Ariza García, Infante A.

Hartog's Type Extension Theorem in Some Piecewise Constant Structure Relations For Metamonogenic Functions of First Order

Abstract: The main purpose of this paper is to study a Hartog's type extension theorem for a more general clas

Palabras claves:

Clifford type algebras, Hartog's type extension theorem, metamonogenic functions, multimetamonogenic functions, piecewise constant structure relations

Antonio Nicola Di Teodoro, Eusebio Ariza García

First Order Differential Operators Associated to the Space of Monogenic Functions in Parameter-Depending Clifford Algebras

Abstract: This paper is aimed at finding all linear first order partial differential operators (Formula presen

Palabras claves:

Associated spaces, Initial value problems, Parameter-depending Clifford algebras

Carmen Judith Vanegas Espinoza, Eusebio Ariza García, Franklin A. Vargas

First Order Differential Operators Associated to the Space of q-Monogenic Functions

Abstract: In this paper we characterize all the first order differential operators, with paravector coefficien

Palabras claves:

Associated spaces, Clifford-type algebras, Initial value problems, q-monogenic functions

Antonio Di Teodoro, Antonio Nicola Di Teodoro, Carmen Judith Vanegas Espinoza, Eusebio Ariza García

Interior L<inf>p</inf>-Estimates for Functions in Clifford Type Algebras

Abstract: In this paper we give estimates for the first order derivatives of Clifford-type algebras valued fun

Palabras claves:

generalized monogenic functions, integral representations, Interior estimates, monogenic functions in Clifford type algebras

Bolívar Y., Carmen Judith Vanegas Espinoza, Eusebio Ariza García, Mármol L.G.

Interior estimates in the sup-norm for a class of generalized functions with integral representations

Abstract: In this paper we construct apriori estimates for the first order derivatives in the sup-norm for fir

Palabras claves:

Clifford type algebras, Initial value problems of Cauchy-Kovaleskaya type, Interior estimates of solutions of elliptic equations, Meta-monogenic functions

Antonio Di Teodoro, Antonio Nicola Di Teodoro, Carmen Judith Vanegas Espinoza, Eusebio Ariza García

Multi Mq-monogenic function in different dimension

Conference Object

Abstract: A metamonogenic of first-order function or simply metamonogenic function is a function that satisfie

Palabras claves:

Clifford algebras, Clifford type depending on parameters, Metamonogenic function, Monogenic function, Multi Mq-monogenic functions, Multi-metamonogenic function

Antonio Nicola Di Teodoro, Eusebio Ariza García

Sufficient Conditions for First-Order Differential Operators to be Associated with a q-Metamonogenic Operator in a Clifford Type Algebra

Abstract: Consider the initial value problem (Formula presented.), where t is the time, L is a linear first-or

Palabras claves:

associated operators, Associated spaces, Initial value problem, Interior estimates

Antonio Nicola Di Teodoro, Eusebio Ariza García, Franklin A. Vargas, Sapiain M.