12 citations · 13 across the 4 of their papers we have counts for
4 papers
The Cauchy Integral Formula in Hermitian, Quaternionic and osp(4|2) Clifford Analysis
Fred Brackx, Hennie De Schepper, Roman Lavicka +1
As is the case for the theory of holomorphic functions in the complex plane, the Cauchy Integral Formula has proven to be a corner stone of Clifford analysis, the monogenic functio…
Distributional Boundary Values of Harmonic Potentials in Euclidean Half-space as Fundamental Solutions of Convolution Operators in Clifford Analysis
Fred Brackx, Hendrik De Bie, Hennie De Schepper
In the framework of Clifford analysis, a chain of harmonic and monogenic potentials in the upper half of Euclidean space $\mR^{m+1}$ was recently constructed, including a higher di…
On a Chain of Harmonic and Monogenic Potentials in Euclidean Half-space
Fred Brackx, Hendrik De Bie, Hennie De Schepper
In the framework of Clifford analysis, a chain of harmonic and monogenic potentials is constructed in the upper half of Euclidean space $\mR^{m+1}$, including a higher dimensional…
The Cauchy-Kovalevskaya Extension Theorem in Hermitean Clifford Analysis
F. Brackx, H. De Schepper, R. Lavicka +1
Hermitean Clifford analysis is a higher dimensional function theory centered around the simultaneous null solutions, called Hermitean monogenic functions, of two Hermitean conjugat…