  In a previous paper the first two named authors defined an action of a Weyl
group on rational functions and used it to construct multiple Dirichlet series.
These series are related to Whittaker functions on an n-fold metaplectic cover
of a reductive group. In this paper, we define metaplectic analogues of the
Demazure and Demazure-Lusztig operators. We show how these operators, together
with results of McNamara, can be used to compute Whittaker functions on
metaplectic groups over p-adic fields.
