13 citations · 42 across the 13 of their papers we have counts for
5 papers · 1 filter
On the radial derivative of the delta distribution
Fred Brackx, Frank Sommen, Jasson Vindas
Possibilities for defining the radial derivative of the delta distribution in the setting of spherical coordinates are explored. This leads to the introduction o…
Fundaments of Quaternionic Clifford Analysis III: Fischer Decomposition in Symplectic Harmonic Analysis
Fred Brackx, Hennie De Schepper, David Eelbode +2
In the framework of quaternionic Clifford analysis in Euclidean space , which constitutes a refinement of Euclidean and Hermitian Clifford analysis, the Fischer de…
Harmonic and Monogenic Potentials in Low Dimensional Euclidean Half-Space
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 R^{m+1} was constructed recently, including a higher dimens…
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…