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

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.

Saved in:
Bibliographic Details
Published in:Complex analysis and operator theory 2017-06, Vol.11 (5), p.1017-1034
Main Authors: Reyes, J. Bory, Blaya, R. Abreu, la Rosa, M. A. Pérez-de, Schneider, B.
Format: Article
Language:English
Subjects:
Analysis
Continuity (mathematics)
Embedded systems
Mathematics
Mathematics and Statistics
Operator Theory
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:1661-8254
1661-8262
DOI:10.1007/s11785-016-0608-6