  Non-virialized dark-matter axions may be present in the Milky Way halo in the
form of low-velocity-dispersion flows. The Axion Dark Matter eXperiment
performed a search for the conversion of these axions into microwave photons
using a resonant cavity immersed in a strong, static magnetic field. The spread
of photon energy in these measurements was measured at spectral resolutions of
the order of 1 Hz and below. If the energy variation were this small, the
frequency modulation of any real axion signal due to the orbital and rotational
motion of the Earth would become non-negligible. Conservative estimates of the
expected signal modulation were made and used as a guide for the search
procedure. The photon frequencies covered by this search are 812$-$852 and
858$-$892 MHz, which correspond to an axion mass of 3.36$-$3.52 and 3.55$-$3.69
{\mu}eV. No axion signal was found, and limits were placed on the maximum local
density of non-virialized axions of these masses.
