3 citations · 4 across the 5 of their papers we have counts for
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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…