32 citations · 306 across the 68 of their papers we have counts for
10 papers · 1 filter
Pizzetti formulae for Stiefel manifolds and applications
Kevin Coulembier, Mario Kieburg
Pizzetti's formula explicitly shows the equivalence of the rotation invariant integration over a sphere and the action of rotation invariant differential operators. We generalize t…
Conformal symmetries of the super Dirac operator
Kevin Coulembier, Hendrik De Bie
In this paper, the Dirac operator, acting on super functions with values in super spinor space, is defined along the lines of the construction of generalized Cauchy-Riemann operato…
The orthosymplectic supergroup in harmonic analysis
Kevin Coulembier
The orthosymplectic supergroup OSp(m|2n) is introduced as the supergroup of isometries of flat Riemannian superspace R^{m|2n} which stabilize the origin. It also corresponds to the…
Invariant integration on orthosymplectic and unitary supergroups
Kevin Coulembier, Ruibin Zhang
The orthosymplectic supergroup OSp(m|2n) and unitary supergroup U(p|q) are studied following a new approach that starts from Harish-Chandra pairs and links the sheaf-theoretical su…
The Fourier Transform on Quantum Euclidean Space
Kevin Coulembier
We study Fourier theory on quantum Euclidean space. A modified version of the general definition of the Fourier transform on a quantum space is used and its inverse is constructed.…
Hilbert space for quantum mechanics on superspace
Kevin Coulembier, Hendrik De Bie
In superspace a realization of sl2 is generated by the super Laplace operator and the generalized norm squared. In this paper, an inner product on superspace for which this represe…