  For the three-dimensional hard-sphere model we investigate the inhomogeneous
two-body correlations predicted by Rosenfeld's fundamental measure theory. For
the special cases in which the density has either planar or spherical symmetry
we provide analytic formulae for the Hankel and Legendre transforms,
respectively, of the inhomogeneous two-body direct correlation function as
explicit functionals of the density. When combined with the Ornstein-Zernike
relation our analytical results allow for rapid calculation of inhomogeneous
hard-sphere density correlations in real-space. These provide not only
information about the packing structures of the hard-sphere system, but also
form an essential building-block for constructing perturbation theories of more
realistic models.
