A Quaternionic Treatment of Inhomogeneous Cauchy–Riemann Type Systems in Some Traditional Theories

Abstract:

In this paper we provide a necessary and sufficient condition for the solvability of inhomogeneous Cauchy–Riemann type systems where the datum consists of continuous C-valued functions and we describe its general solution by embedding the system in an appropriate quaternionic setting.

Año de publicación:

2017

Keywords:

• Cauchy–Riemann systems
• Quaternionic analysis
• Function theories for the Laplace operator

Fuente:

scopus