  Let G=U(p,q) and K=U(p)xU(q). In arXiv:0801.1530, the authors construct a
functor from the category of Harish-Chandra modules for the pair (G,K) to the
category of representations of the degenerate affine Hecke algebra of type B_n.
In this paper, we study the image of the principal series modules of G under
this functor. We describe the dAHA module structure of the image by
constructing a family of common eigenvectors of {y_i}. In the rank 1 case, we
write down an explicit formula for the generator y_{1} in terms of central
elements of U(g) and calculate the eigenvalue of y_{1} by using the central
characters.
