We consider a time-dependent random field, f(rZt), defined on a spherical shell [Q=(6,q), O56 , -t<(p it] or cylindrical annulus [92=P, -1E<(P57r]. Examples are the temperature distribution, T(r,2,t), or the radial component of the flow velocity, u(r,2,t), obtained from numerical simulations of high Rayleigh number convection. For such a field the spatio-temporal two-point correlation function,...