  We compute a variety of two and three-point real-time correlation functions
for a strongly-coupled non-relativistic field theory. We focus on the theory
conjectured to be dual to the Schr\"{o}dinger-invariant gravitational spacetime
introduced by Balasubramanian, McGreevy, and Son, but our methods apply to a
large class of non-relativistic theories. At zero temperature, we obtain
time-ordered, retarded, and Wightman non-relativistic correlators for scalar
operators of arbitrary conformal dimension directly in field theory by applying
a certain lightlike Fourier transform to relativistic conformal correlators,
and we verify that non-relativistic AdS/CFT reproduces the results. We compute
thermal two and three-point real-time correlators for scalar operators dual to
scalar fields in the black hole background which is the finite temperature
generalization of the Schr\"{o}dinger spacetime. This is done by first
identifying thermal real-time bulk-to-boundary propagators, which combined with
Veltman's circling rules, yield two and three-point correlators. The two-point
correlators we obtain satisfy the Kallen-Lehmann relations. We also give
retarded and time-ordered three-point correlators.
