Bispectrality for deformed Calogero­-Moser­-Sutherland systems

Feigin, M. (2005) Bispectrality for deformed Calogero­-Moser­-Sutherland systems. Journal of Nonlinear Mathematical Physics, 12(Supple), pp. 95-136. (doi: 10.2991/jnmp.2005.12.s2.8)

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Publisher's URL: http://dx.doi.org/10.2991/jnmp.2005.12.s2.8

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 the Baker­-Akhiezer function is modified, the dual difference operators of rational Madonald type and the Baker-­Akhiezer functions related to both series are constructed.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Feigin, Professor Misha
Authors: Feigin, M.
Subjects:Q Science > QA Mathematics
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Journal of Nonlinear Mathematical Physics
ISSN:1402-9251
ISSN (Online):1776-0852

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