24 citations · 32 across the 3 of their papers we have counts for
4 papers
A discrete Fourier transform associated with the affine Hecke algebra
J. F. van Diejen, E. Emsiz
We introduce an explicit representation of the double affine Hecke algebra (of type ) at that gives rise to a periodic counterpart of a well-known Fourier transform asso…
Unitary representations of affine Hecke algebras related to Macdonald spherical functions
J. F. van Diejen, E. Emsiz
For any reduced crystallographic root system, we introduce a unitary representation of the (extended) affine Hecke algebra given by discrete difference-reflection operators acting…
Diagonalization of an Integrable Discretization of the Repulsive Delta Bose Gas on the Circle
J. F. van Diejen
We introduce an integrable lattice discretization of the quantum system of n bosonic particles on a ring interacting pairwise via repulsive delta potentials. The corresponding (fin…
Asymptotics of multivariate orthogonal polynomials with hyperoctahedral symmetry
J. F. van Diejen
We present a formula describing the asymptotics of a class of multivariate orthogonal polynomials with hyperoctahedral symmetry as the degree tends to infinity. The polynomials und…