5 citations · 8 across the 8 of their papers we have counts for
8 papers
Revisiting Fischer decompositions by inframonogenic functions
Daniel Alfonso Santiesteban, Ricardo Abreu Blaya, Juan Bory Reyes +1
We explore Fischer decompositions from the perspective of inframonogenic functions in Clifford analysis, a non-commutative version of harmonic functions in Euclidean spaces. We stu…
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…
On the Notion of a Function of Bounded Variation and of Riemann-Stieltjes Integral with Strong Partitions on Hyperbolic Intervals
Gamaliel Tellez-Sanchez, Juan Bory Reyes
In this paper we provided a classification for partitions of intervals on the hyperbolic plane. Given a partition, to be named strong, we define a notion of a hyperbolic-valued fun…
Bergman theory for the inhomogeneous Cimmino system
José Oscar González Cervantes, Dante Arroyo Sánchez, Juan Bory Reyes
We first prove a Cauchy's integral theorem and Cauchy type formula for certain inhomogeneous Cimmino system from quaternionic analysis perspective. The second part of the paper dir…
On a Riemann-Hilbert boundary value problem for -harmonic functions in
José Luis Serrano Ricardo, Ricardo Abreu Blaya, Juan Bory Reyes +1
The purpose of this paper is to solve a kind of Riemann-Hilbert boundary value problem for -harmonic functions, which are linked with the use of two orthogonal basis of the…
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…
Biquaternionic Reformulation of a Fractional Monochromatic Maxwell System
Yudier Peña Pérez, Ricardo Abreu Blaya, Martín Patricio Árciga Alejandre +1
In this work we propose a biquaternionic reformulation of a fractional monochromatic Maxwell system. Additionally, some examples are given to illustrate how the quaternionic fracti…
Bochner-Martinelli formula in superspace
Juan Bory Reyes, Alí Guzmán Adán, Frank Sommen
In a series of recent papers, a harmonic and hypercomplex function theory in superspace has been established and amply developed. In this paper, we address the problem of establish…