  Observing nearby galaxies would facilitate the search for artificial radio
signals by sampling many billions of stars simultaneously, but few efforts have
been made to exploit this opportunity. An added attraction is that the Milky
Way is the second-largest member of the Local Group, so our galaxy might be a
probable target for hypothetical broadcasters in nearby galaxies. We present
the first relatively high spectral resolution (<1 kHz) 21 cm band search for
intelligent radio signals of complete galaxies in the Local Group with the
Jansky VLA, observing the galaxies M31 (Andromeda) and M33 (Triangulum) - the
first and third largest members of the group respectively - sampling more stars
than any prior search of this kind. We used 122 Hz channels over a 1 MHz
spectral window in the target galaxy velocity frame of reference, and 15 Hz
channels over a 125 kHz window in our local standard of rest. No narrowband
signals were detected above a signal-to-noise ratio of 7, suggesting the
absence of continuous narrowband flux greater than approximately 0.24 Jy and
1.33 Jy in the respective spectral windows illuminating our part of the Milky
Way during our observations in December 2014 and January 2015. This is also the
first study in which the upgraded VLA has been used for SETI.
