The Planck Early Release Compact Source Catalog (ERCSC) has offered the first op-
portunity to accurately determine the luminosity function of dusty galaxies in the very
local Universe (i.e. distances <
100Mpc), at several (sub-)millimetre wavelengths, us-
ing blindly selected samples of low redshift sources, unaffected by cosmological evolu-
tion. This project, however, requires careful consideration of a variety of issues includ-
ing the choice of the appropriate flux density measurement, the separation of dusty
galaxies from radio sources and from Galactic sources, the correction for the CO emis-
sion, the effect of density inhomogeneities, and more. We present estimates of the local
luminosity functions at 857GHz (350 μm), 545GHz (550 μm) and 353GHz (850 μm)
extending across the characteristic luminosity L⋆, and a preliminary estimate over a
limited luminosity range at 217GHz (1382 μm). At 850 μm and for luminosities L >
L⋆
our results agree with previous estimates, derived from the SCUBA Local Universe
Galaxy Survey (SLUGS), but are higher than the latter at L <
L⋆. We also find good
agreement with estimates at 350 and 500 μm based on preliminary Herschel survey
data.
