A reproducing kernel for nonsymmetric Macdonald polynomials
q-alg
2008-02-03 v1 Quantum Algebra
Abstract
We present a new formula of Cauchy type for the nonsymmetric Macdonald polynomials which are joint eigenfunctions of q-Dunkl operators. This gives the explicit formula for a reproducing kernel on the polynomial ring of n variables.
Cite
@article{arxiv.q-alg/9610014,
title = {A reproducing kernel for nonsymmetric Macdonald polynomials},
author = {K. Mimachi and M. Noumi},
journal= {arXiv preprint arXiv:q-alg/9610014},
year = {2008}
}
Comments
19 pages, AMS-TeX Ver.2.1, no figures