13 citations · 42 across the 13 of their papers we have counts for
14 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…
Distributions: a spherical co-ordinates approach
Fred Brackx
When expressing a distribution in Euclidean space in spherical co-ordinates, derivation with respect to the radial and angular co-ordinates is far from trivial. Exploring the possi…
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…
Fischer Decomposition for osp(4|2)-monogenics in Quaternion Clifford Analysis
Fred Brackx, Hennie De Schepper, David Eelbode +2
Spaces of spinor-valued homogeneous polynomials, and in particular spaces of spinor-valued spherical harmonics, are decomposed in terms of irreducible representations of the symple…
Fundaments of Quaternionic Clifford Analysis II: Splitting of Equations
Fred Brackx, Hennie De Schepper, David Eelbode +2
Quaternionic Clifford analysis is a recent new branch of Clifford analysis, a higher dimensional function theory which refines harmonic analysis and generalizes to higher dimension…
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…