English

Bispectrality for deformed Calogero-Moser-Sutherland systems

Mathematical Physics 2007-05-23 v1 math.MP

Abstract

We prove bispectral duality for the generalized Calogero-Moser-Sutherland systems related to configurations An,2(m),Cn(l,m)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.

Keywords

Cite

@article{arxiv.math-ph/0503020,
  title  = {Bispectrality for deformed Calogero-Moser-Sutherland systems},
  author = {M. Feigin},
  journal= {arXiv preprint arXiv:math-ph/0503020},
  year   = {2007}
}

Comments

45 pages

R2 v1 2026-07-22T16:25:45.409Z