TY - JOUR
T1 - A Quaternionic Treatment of Inhomogeneous Cauchy–Riemann Type Systems in Some Traditional Theories
AU - Reyes, J. Bory
AU - Blaya, R. Abreu
AU - la Rosa, M. A.Pérez de
AU - Schneider, B.
N1 - Publisher Copyright:
© 2016, Springer International Publishing.
PY - 2017/6/1
Y1 - 2017/6/1
N2 - 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.
AB - 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.
KW - Cauchy–Riemann systems
KW - Function theories for the Laplace operator
KW - Quaternionic analysis
UR - http://www.scopus.com/inward/record.url?scp=84994745241&partnerID=8YFLogxK
U2 - 10.1007/s11785-016-0608-6
DO - 10.1007/s11785-016-0608-6
M3 - Artículo
AN - SCOPUS:84994745241
SN - 1661-8254
VL - 11
SP - 1017
EP - 1034
JO - Complex Analysis and Operator Theory
JF - Complex Analysis and Operator Theory
IS - 5
ER -