A Quaternionic Treatment of Inhomogeneous Cauchy-Riemann Type Systems in Some Traditional Theories
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Date
2017
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Springer Basel Ag
Open Access Color
Green Open Access
No
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No
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Average
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Average
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Top 10%
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.
Description
International Conference on Past and Future Directions in Hypercomplex and Harmonic Analysis in honor of his 60th Birthday -- 2016 -- Univ Aveiro, Aveiro, PORTUGAL
Keywords
Quaternionic analysis, Cauchy-Riemann systems, Function theories for the Laplace operator, quaternionic analysis, Laplace operator, Functions of hypercomplex variables and generalized variables, Cauchy-Riemann systems
Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Q2
Scopus Q
Q3
OpenCitations Citation Count
8
Source
Complex Analysıs And Operator Theory
Volume
11
Issue
5
Start Page
1017
End Page
1034
PlumX Metrics
Citations
CrossRef : 8
Scopus : 10
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Mendeley Readers : 1
SCOPUS™ Citations
10
checked on Mar 23, 2026
Web of Science™ Citations
10
checked on Mar 23, 2026
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