3 papers
math.CA2023
Reduction Procedure for obtaining solutions of the scalar additive Jump problem and Riemann Boundary Value Problem in vectorial Clifford analysis
Carlos Daniel Tamayo Castro, Juan Bory Reyes, Ricardo Abreu Blaya
In this paper, we study the existence of solutions to the scalar additive Jump problem and the Riemann boundary value problems in the context of vectorial Clifford analysis on doma…
math.CV2023
A higher Dimensional Marcinkiewicz Exponent and the Riemann Boundary Value Problems for Polymonogenic Functions on Fractals Domains
Carlos Daniel Tamayo Castro, Juan Bory Reyes
We use a high-dimensional version of the Marcinkiewicz exponent, a metric characteristic for non-rectifiable plane curves, to present a direct application to the solution of some k…
math.CV2019
On Riemann problems for monogenic functions in lower dimensional non-commutative Clifford algebras
Carlos Daniel Tamayo Castro, Ricardo Abreu Blaya, Juan Bory Reyes
In this paper, we mainly consider the Riemann boundary value problems for lower dimensional non-commutative Clifford algebras valued monogenic functions. The solutions are given in…