  We study boundary Green's functions for spacetimes with non-relativistic
scaling symmetry. For this class of backgrounds, scalar modes with large
transverse momentum, or equivalently low frequency, have an exponentially
suppressed imprint on the boundary. We investigate the effect of these modes on
holographic two-point functions. We find that the boundary Green's function is
generically insensitive to horizon features on small transverse length scales.
We explicitly demonstrate this insensitivity for Lifshitz z=2, and then use the
WKB approximation to generalize our findings to Lifshitz z>1 and RG flows with
a Lifshitz-like region. We also comment on the analogous situation in
Schroedinger spacetimes. Finally, we exhibit the analytic properties of the
Green's function in these spacetimes.
