Kernel Functions for Difference Operators of Ruijsenaars Type and Their Applications
Quantum Algebra
2009-05-17 v4 Mathematical Physics
math.MP
Abstract
A unified approach is given to kernel functions which intertwine Ruijsenaars difference operators of type A and of type BC. As an application of the trigonometric cases, new explicit formulas for Koornwinder polynomials attached to single columns and single rows are derived.
Cite
@article{arxiv.0812.0279,
title = {Kernel Functions for Difference Operators of Ruijsenaars Type and Their Applications},
author = {Yasushi Komori and Masatoshi Noumi and Jun'ichi Shiraishi},
journal= {arXiv preprint arXiv:0812.0279},
year = {2009}
}
Comments
40 pages. Three sections are added in Appendix, as well as several comments and references