Abstract
We study the elliptic Ruijsenaars model of type-BC, which is a difference analogue of the BC-type Calogero–Sutherland–Moser model with an elliptic pairwise potential. In the trigonometric limit, the difference operator of this model reduces to the Macdonald–Koornwinder operator by a gauge-transformation. We show that our difference operator acts on a finite-dimensional space of functions in a special case of the coupling constant.
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