Matrix elements of vertex operators of deformed W-algebra and Harish Chandra Solutions to Macdonald's difference equations
arXiv:q-alg/9702011
Abstract
In this paper we prove that certain matrix elements of vertex operators of deformed W-algebra satisfy Macdonald difference equations and form n! -dimensional space of solutions. These solutions are the analogues of Harish Chandra solutions with prescribed asymptotic behavior. We obtain formulas for analytic continuation as a consequence of braiding properties of vertex operators of deformed W-algebra.
arXiv comment28 pages, latex2e with the use of amstex, 1 Postscript figure, several propositions are added, couple typos are corrected, another integral representation is added, convergence corollary is refined, replaced on Dec 6,1997