Elliptic Ruijsenaars difference operators on bounded partitions
Mathematical Physics
2022-05-18 v2 math.MP
Exactly Solvable and Integrable Systems
Abstract
By means of a truncation condition on the parameters, the elliptic Ruijsenaars difference operators are restricted onto a finite lattice of points encoded by bounded partitions. A corresponding orthogonal basis of joint eigenfunctions is constructed in terms of polynomials on the joint spectrum. In the trigonometric limit, this recovers the diagonalization of the truncated Macdonald difference operators by a finite-dimensional basis of Macdonald polynomials.
Cite
@article{arxiv.2106.06512,
title = {Elliptic Ruijsenaars difference operators on bounded partitions},
author = {Jan Felipe van Diejen and Tamás Görbe},
journal= {arXiv preprint arXiv:2106.06512},
year = {2022}
}
Comments
14 pages, v2: minor corrections and reference added