Matrix elements of vertex operators of deformed W-algebra and Harish Chandra Solutions to Macdonald's difference equations
Abstract
Description
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.
28 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
28 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