  For a real reductive linear Lie group G, the space of Whittaker functions is
the representation space induced from a non-degenerate unitary character of the
Iwasawa nilpotent subgroup. Defined are the standard Whittaker (g,K)-modules,
which are K-admissible submodules of the space of Whittaker functions. We first
determine the structures of them when the infinitesimal characters
characterizing them are generic. As an example of the integral case, we
determine the composition series of the standard Whittaker (g,K)-module when G
is the group U(n,1) and the infinitesimal character is regular integral.
