13 citations · 23 across the 7 of their papers we have counts for
8 papers
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…
Representation of Distributions by Harmonic and Monogenic Potentials in Euclidean 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 (m+1)-dimensional Euclidean space was recently constructed, including a hig…
Fundaments of Quaternionic Clifford Analysis I
Fred Brackx, Hennie De Schepper, David Eelbode +2
Introducing a quaternionic structure on Euclidean space, the fundaments for quaternionic and symplectic Clifford analysis are studied in detail from the viewpoint of invariance for…
Embedding Factors for Branching in Hermitian Clifford Analysis
F. Brackx, H. De Schepper, R. Lavicka +1
A step 2 branching decomposition of spaces of homogeneous Hermitian monogenic polynomials in C^n is established with explicit embedding factors in terms of the generalized Jacobi p…