  The static transverse and longitudinal correlation functions (CF) of a
3-dimensional ferromagnet are calculated for the exactly solvable anisotropic
spherical model (ASM) determined as the limit D \to \infty of the classical
D-component vector model. The results are nonequivalent to those for the
standard spherical model of Berlin and Kac even in the isotropic case. Whereas
the transverse CF has the usual Ornstein-Zernike form for small wave vectors,
the longitudinal CF shows a nontrivial behavior in the ordered region caused by
spin-wave fluctuations. In particular, in the isotropic case below T_c one has
S_{zz}(k) \propto 1/k (the result of the spin-wave theory) for k \lsim \kappa_m
\propto T_c-T.
