A Contraction of S U (2) to the Heisenberg Group.
A new form of the spherical expansion of zonal functions and Fourier transforms of -finite functions.
Algèbres et noyaux de convolution sur le dual sphérique d’un groupe de Lie semi-simple, non compact et de rang
An alternative definition of the Hermite polynomials related to the Dunkl Laplacian.
An analogue of the Gauss summation formula for hypergeometric functions related to root systems.
An elementary approach to the hypergeometric shift operators of Opdam.
An Elementary Proof of the Baker-Campbell-Hausdorff-Dynkin Formula.
Analyse harmonique hyperbolique : représentations et contractions des groupes
Arrangements of hyperplanes and Lie algebra homology.
Commuting difference operators with polynomial eigenfunctions
Compact simple Lie groups and their -, -, and -transforms.
Constant term identities, orthogonal polynomials and affine Hecke algebras.
Creation and annihilation operators for orthogonal polynomials of continuous and discrete variables.
Cube Groups Invariant Spherical Harmonics and Krawtchouk Polynomials.
Degree two monomial representations of local Weil groups.
Differential operators of gradient type associated with spherical harmonics
Discrete Analogues of the Heisenberg-Weyl Algebra.
Dunkl operators
Dunkl operators and canonical invariants of reflection groups.
Dunkl operators, Bessel functions and the discriminant of a finite Coxeter group