3 citations · 4 across the 3 of their papers we have counts for
3 papers
math.RT2023
Branching symplectic monogenics using a Mickelsson--Zhelobenko algebra
David Eelbode, Guner Muarem
In this paper we consider (polynomial) solution spaces for the symplectic Dirac operator (with a focus on -homogeneous solutions). This space forms an infinite-dimensional repre…
math.CA2014★ 3 cited
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…
math.AP2014★ 1 cited
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…