7 citations · 9 across the 4 of their papers we have counts for
4 papers
A Fock Model and the Segal-Bargmann Transform for the Minimal Representation of the Orthosymplectic Lie Superalgebra
Sigiswald Barbier, Sam Claerebout, Hendrik De Bie
The minimal representation of a semisimple Lie group is a 'small' infinite-dimensional irreducible unitary representation. It is thought to correspond to the minimal nilpotent coad…
The Dunkl kernel and intertwining operator for dihedral groups
Hendrik De Bie, Pan Lian
Dunkl operators associated with finite reflection groups generate a commutative algebra of differential-difference operators. There exists a unique linear operator called intertwin…
The -Bannai-Ito algebra and multivariate -Racah and Bannai-Ito polynomials
Hendrik De Bie, Hadewijch De Clercq
The Gasper and Rahman multivariate -Racah polynomials appear as connection coefficients between bases diagonalizing different abelian subalgebras of the recently defined high…
Generating functions of orthogonal polynomials in higher dimensions
Hendrik De Bie, Dixan Peña Peña, Frank Sommen
In this paper two important classes of orthogonal polynomials in higher dimensions using the framework of Clifford analysis are considered, namely the Clifford-Hermite and the Clif…