Bispectrality for deformed Calogero-Moser-Sutherland systems
Abstract
We prove bispectral duality for the generalized Calogero-Moser-Sutherland systems related to configurations An,2(m), Cn(l,m). The trigonometric axiomatics of Baker-Akhiezer function is modified, the dual difference operators of rational Macdonald type and the Baker-Akhiezer functions related to both series are explicitly constructed.
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