Bispectrality for deformed Calogero-Moser-Sutherland systems

Details Bispectrality for deformed Calogero-Moser-Sutherland systems Bispectrality for deformed Calogero-Moser-Sutherland systems

2005-03-09

arxiv.org/abs/math-ph/0503020v1

Physics

Mathematical Physics

45 pages

Scientific paper

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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