Harmonic Analysis, Real Analysis, Clifford Analysis, Hypercomplex algebras, Wavelet theory, PDEs, Integral transforms, Mathematical disclosure, History of mathematics, mathematics education.
14
Scopus Publications
38
Scholar Citations
4
Scholar h-index
Scopus Publications
Parabolic Dirac operators and their fundamental solutions in parametric Clifford algebras Bulletin of Computational Applied Mathematics, 2023
One—dimensional Quaternion Fourier Transform and Some Applications Bulletin of Computational Applied Mathematics, 2021
One dimensional octonion Fourier Transform Journal of Mathematical Control Science and Applications, 2021
ψ-weighted Cauchy-Riemann operators and some associated integral representation Eusebio Ariza, Antonio Di Teodoro, Carmen Judith Vanegas Quaestiones Mathematicae, 2020 In the present work we introduce a weighted Cauchy-Riemann type operator in the complex plane, where the weights are complex non-constant functions. We construct a fundamental solution for this operator where the weights are complex constant functions and orthogonal functions inspired by the idea for the construction of the Levy function proposed by Miranda (see [23]). Therefore we obtain a Cauchy-Pompeiu integral representation formula. We also present some examples of such representations when we take some particular weights.
Interior estimates in the sup-norm for a class of generalized functions with integral representations Bulletin of Computational Applied Mathematics, 2019
ψ -weighted Cauchy-Riemann operators and some associated integral representation E Ariza, A Di Teodoro, CJ Vanegas Quaestiones Mathematicae 43 (3), 335-360 , 2020 2020.0 Citations: 5
Sufficient Conditions for First-Order Differential Operators to be Associated with a q -Metamonogenic Operator in a Clifford Type Algebra E Ariza García, A Di Teodoro, M Sapiain, F Vargas Computational Methods and Function Theory 17 (2), 211-236 , 2017 2017.0
First Order Differential Operators Associated to the Space of q -Monogenic Functions E Ariza García, A Di Teodoro, J Vanegas Advances in Applied Clifford Algebras 27 (1), 135-147 , 2017 2017.0 Citations: 1
First order differential operators associated to the space of q-monogenic functions E Ariza, A Di Teodoro, J Vanegas Advances in Applied Clifford Algebras 27, 135-147 , 2017 2017.0 Citations: 5
Sufficient conditions for first-order differential operators to be associated with a q-metamonogenic operator in a Clifford type algebra E Ariza, A Di Teodoro, M Sapiain, F Vargas Comput. Methods Funct. Theory 17, 211-236 , 2017 2017.0 Citations: 3
First order differential operators associated to the space of monogenic functions in parameter-depending Clifford algebras E Ariza, J Vanegas, F Vargas Advances in Applied Clifford Algebras 26 (1), 13-29 , 2016 2016.0 Citations: 7
Fundamental solutions for second order elliptic operators in Clifford-type algebras E Ariza, A Di Teodoro, A Infante, J Vanegas Advances in Applied Clifford Algebras 25 (3), 527-538 , 2015 2015.0 Citations: 7
Interior L p -Estimates for Functions in Clifford Type Algebras E Ariza, Y Bolívar, L Mármol, J Vanegas Advances in Applied Clifford Algebras 25 (2), 271-282 , 2015 2015.0 Citations: 4
PROBLEMAS DE VALORES INICIALES Y REPRESENTACIONES INTEGRALES EN ANALISIS DE CLIFFORD E Ariza, A Di Teodoro Acta Cientıfica Venezolana 65 (4), 225-233 , 2014 2014.0 Citations: 1
Multi M q -monogenic Function in Different Dimension E Ariza, A Di Teodoro Hypercomplex Analysis: New Perspectives and Applications, 61-73 , 2013 2013.0 Citations: 2
Hartog’s Type Extension Theorem in Some Piecewise Constant Structure Relations For Metamonogenic Functions of First Order E Ariza, A Di Teodoro Advances in Applied Clifford Algebras 23 (3), 561-576 , 2013 2013.0
TEOREMAS DE EXTENSION TIPO HARTOGS EN ANALISIS DE CLIFFORD. E Ariza 2011.0
Teorema de extensión para funciones multi-monogénicas en álgebras parametrizadas E Ariza, CJ Vanegas Boletın de la Asociación Matemática Venezolana, 5 , 2011 2011.0 Citations: 3
Past and Future Directions in Hypercomplex and Harmonic Analysis E Ariza, A Di Teodoro, F Vargas
MOST CITED SCHOLAR PUBLICATIONS
First order differential operators associated to the space of monogenic functions in parameter-depending Clifford algebras E Ariza, J Vanegas, F Vargas Advances in Applied Clifford Algebras 26 (1), 13-29 , 2016 2016.0 Citations: 7
Fundamental solutions for second order elliptic operators in Clifford-type algebras E Ariza, A Di Teodoro, A Infante, J Vanegas Advances in Applied Clifford Algebras 25 (3), 527-538 , 2015 2015.0 Citations: 7
ψ -weighted Cauchy-Riemann operators and some associated integral representation E Ariza, A Di Teodoro, CJ Vanegas Quaestiones Mathematicae 43 (3), 335-360 , 2020 2020.0 Citations: 5
First order differential operators associated to the space of q-monogenic functions E Ariza, A Di Teodoro, J Vanegas Advances in Applied Clifford Algebras 27, 135-147 , 2017 2017.0 Citations: 5
Interior L p -Estimates for Functions in Clifford Type Algebras E Ariza, Y Bolívar, L Mármol, J Vanegas Advances in Applied Clifford Algebras 25 (2), 271-282 , 2015 2015.0 Citations: 4
Sufficient conditions for first-order differential operators to be associated with a q-metamonogenic operator in a Clifford type algebra E Ariza, A Di Teodoro, M Sapiain, F Vargas Comput. Methods Funct. Theory 17, 211-236 , 2017 2017.0 Citations: 3
Teorema de extensión para funciones multi-monogénicas en álgebras parametrizadas E Ariza, CJ Vanegas Boletın de la Asociación Matemática Venezolana, 5 , 2011 2011.0 Citations: 3
Multi M q -monogenic Function in Different Dimension E Ariza, A Di Teodoro Hypercomplex Analysis: New Perspectives and Applications, 61-73 , 2013 2013.0 Citations: 2
First Order Differential Operators Associated to the Space of q -Monogenic Functions E Ariza García, A Di Teodoro, J Vanegas Advances in Applied Clifford Algebras 27 (1), 135-147 , 2017 2017.0 Citations: 1
PROBLEMAS DE VALORES INICIALES Y REPRESENTACIONES INTEGRALES EN ANALISIS DE CLIFFORD E Ariza, A Di Teodoro Acta Cientıfica Venezolana 65 (4), 225-233 , 2014 2014.0 Citations: 1
Sufficient Conditions for First-Order Differential Operators to be Associated with a q -Metamonogenic Operator in a Clifford Type Algebra E Ariza García, A Di Teodoro, M Sapiain, F Vargas Computational Methods and Function Theory 17 (2), 211-236 , 2017 2017.0
Hartog’s Type Extension Theorem in Some Piecewise Constant Structure Relations For Metamonogenic Functions of First Order E Ariza, A Di Teodoro Advances in Applied Clifford Algebras 23 (3), 561-576 , 2013 2013.0
TEOREMAS DE EXTENSION TIPO HARTOGS EN ANALISIS DE CLIFFORD. E Ariza 2011.0
Past and Future Directions in Hypercomplex and Harmonic Analysis E Ariza, A Di Teodoro, F Vargas