3 citations · 4 across the 5 of their papers we have counts for
12 papers
Vector valued spherical functions and Macdonald-Koornwinder polynomials
Alexei A. Oblomkov, Jasper V. Stokman
We interpret the five parameter family of Macdonald-Koornwinder polynomials as vector valued spherical functions on quantum Grassmannians.
Vertex-IRF transformations, dynamical quantum groups and harmonic analysis
Jasper V. Stokman
It is shown that a dynamical quantum group arising from a vertex-IRF transformation has a second realization with untwisted dynamical multiplication but nontrivial bigrading. Appli…
Hyperbolic beta integrals
Jasper V. Stokman
Hyperbolic beta integrals are analogues of Euler's beta integral in which the role of Euler's gamma function is taken over by Ruijsenaars' hyperbolic gamma function. They may be vi…
Askey-Wilson functions and quantum groups
Jasper V. Stokman
Eigenfunctions of the Askey-Wilson second order -difference operator for and are constructed as formal matrix coefficients of the principal series representation…
The quantum orbit method for generalized flag manifolds
Jasper V. Stokman
Generalized flag manifolds endowed with the Bruhat-Poisson bracket are compact Poisson homogeneous spaces, whose decompositions in symplectic leaves coincide with their stratificat…
Difference Fourier transforms for nonreduced root systems
Jasper V. Stokman
In the first part of the paper kernels are constructed which meromorphically extend the Macdonald-Koornwinder polynomials in their degrees. In the second part of the paper the kern…