1 citations · 1 across the 2 of their papers we have counts for
8 papers
A second addition formula for continuous q-ultraspherical polynomials
Tom H. Koornwinder
This paper provides the details of Remark 5.4 in the author's paper "Askey-Wilson polynomials as zonal spherical functions on the SU(2) quantum group", SIAM J. Math. Anal. 24 (1993…
Fusion and exchange matrices for quantized sl(2) and associated q-special functions
T. H. Koornwinder, N. Touhami
The aim of this paper is to evaluate in terms of q-special functions the objects (intertwining map, fusion matrix, exchange matrix) related to the quantum dynamical Yang-Baxter equ…
Invariant differential operators on nonreductive homogeneous spaces
Tom H. Koornwinder
A systematic exposition is given of the theory of invariant differential operators on a not necessarily reductive homogeneous space. This exposition is modelled on Helgason's treat…
QDYBE: some explicit formulas for exchange matrix and related objects in case of sl(2), q=1
Tom H. Koornwinder, Nabila Touhami
This mainly tutorial paper is intended as a somewhat larger example for parts of the theory exposed in the Lectures on the dynamical Yang-Baxter equations by P. Etingof and O. Schi…
Some details of proofs of theorems related to the quantum dynamical Yang-Baxter equation
Tom H. Koornwinder
This paper gives some further details of proofs of some theorems related to the quantum dynamical Yang-Baxter equation. This mainly expands proofs given in "Lectures on the dynamic…
A q-analogue of convolution on the line
G. Carnovale, T. H. Koornwinder
In this paper we study a q-analogue of the convolution product on the line in detail. A convolution product on the braided line was defined algebraically by Kempf and Majid. We ada…