37 citations · 129 across the 18 of their papers we have counts for
19 papers
Polyanalytic Gaussian Radial Basis Function Kernel and Itô-Hermite Polynomials
Hendrik De Bie, Antonino De Martino, Kamal Diki
We introduce a polyanalytic extension of the Gaussian radial basis function (RBF) kernel by computing the action of the convolution operator on normalized Hermite functions. In par…
A Lie algebra of Grassmannian Dirac operators and vector variables
Asmus K. Bisbo, Hendrik De Bie, Joris Van der Jeugt
The Lie algebra generated by -dimensional Grassmannian Dirac operators and -dimensional vector variables is identified as the orthogonal Lie algebra $\mathfrak{so…
Representations of the Lie Superalgebra with Polynomial Bases
Asmus K. Bisbo, Hendrik De Bie, Joris Van der Jeugt
We study a particular class of infinite-dimensional representations of . These representations are characterized by a positive integer , and are t…
The Racah algebra and
Hendrik De Bie, Wouter van de Vijver, Luc Vinet
We conjecture the existence of an embedding of the Racah algebra into the universal enveloping algebra of . Evidence of this conjecture is offered by realizing bot…
Ramsey problems for Berge hypergraphs
Dániel Gerbner, Abhishek Methuku, Gholamreza Omidi +1
For a graph , a hypergraph is a Berge copy of (or a Berge- in short), if there is a bijection such that for each $e \i…
The total angular momentum algebra related to the Dunkl Dirac equation
Hendrik De Bie, Roy Oste, Joris Van der Jeugt
We consider the symmetry algebra generated by the total angular momentum operators, appearing as constants of motion of the Dunkl Dirac equation. The latter is a def…