32 citations · 306 across the 68 of their papers we have counts for
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Orthosymplectically invariant functions in superspace
Kevin Coulembier, Hendrik De Bie, Frank Sommen
The notion of spherically symmetric superfunctions as functions invariant under the orthosymplectic group is introduced. This leads to dimensional reduction theorems for differenti…
q-deformed harmonic and Clifford analysis and the q-Hermite and Laguerre polynomials
Kevin Coulembier, Frank Sommen
We define a q-deformation of the Dirac operator, inspired by the one dimensional q-derivative. This implies a q-deformation of the partial derivatives. By taking the square of this…
Orthogonality of Hermite polynomials in superspace and Mehler type formulae
Kevin Coulembier, Hendrik De Bie, Frank Sommen
In this paper, Hermite polynomials related to quantum systems with orthogonal O(m)-symmetry, finite reflection group symmetry G < O(m), symplectic symmetry Sp(2n) and superspace sy…