6 citations · 12 across the 10 of their papers we have counts for
13 papers
A Hermitian refinement of symplectic Clifford analysis
David Eelbode, Guner Muarem
In this paper we develop the Hermitian refinement of symplectic Clifford analysis, by introducing a complex structure on the canonical symplectic manifold $(\mathbb {R…
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…
The orthogonal branching problem for symplectic monogenics
David Eelbode, Guner Muarem
In this paper we study the sp(2m)-invariant Dirac operator Ds which acts on symplectic spinors, from an orthogonal point of view. By this we mean that we will focus on the subalgeb…
The Symplectic Fueter-Sce Theorem
David Eelbode, Sonja Hohloch, Güner Muarem
In this paper we present a symplectic analogue of the Fueter theorem. This allows the construction of special (polynomial) solutions for the symplectic Dirac operator , which…
The higher spin Laplace operator in several vector variables
David Eelbode, Tim Raeymaekers, Matthias Roels
In this paper, an explicit expression is obtained for the conformally invariant higher spin Laplace operator , which acts on functions taking values in an arbitrary…
The harmonic transvector algebra in two vector variables
Hendrik De Bie, David Eelbode, Matthias Roels
The decomposition of polynomials of one vector variable into irreducible modules for the orthogonal group is a crucial result in harmonic analysis which makes use of the Howe duali…