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

Bory Reyes, J.Abreu Blaya, R.Perez-de la Rosa, M. A.Schneider, B.2023-06-162023-06-1620171661-82541661-8262https://doi.org/10.1007/s11785-016-0608-6https://hdl.handle.net/20.500.14365/988International Conference on Past and Future Directions in Hypercomplex and Harmonic Analysis in honor of his 60th Birthday -- 2016 -- Univ Aveiro, Aveiro, PORTUGALIn 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.eninfo:eu-repo/semantics/closedAccessQuaternionic analysisCauchy-Riemann systemsFunction theories for the Laplace operatorA Quaternionic Treatment of Inhomogeneous Cauchy-Riemann Type Systems in Some Traditional TheoriesConference Object10.1007/s11785-016-0608-62-s2.0-84994745241