Bispectrality for deformed Calogero-Moser-Sutherland systems
classification
🧮 math-ph
math.MP
keywords
baker-akhiezercalogero-moser-sutherlandrelatedsystemsaxiomaticsbispectralbispectralityconfigurations
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We prove bispectral duality for the generalized Calogero-Moser-Sutherland systems related to configurations $A_{n,2}(m), C_n(l,m)$. 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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