The local luminosity function of star-forming galaxies derived from the
  Planck Early Release Compact Source Catalogue
  The Planck Early Release Compact Source Catalog (ERCSC) has offered the first
opportunity to accurately determine the luminosity function of dusty galaxies
in the very local Universe (i.e. distances <~ 100 Mpc), at several
(sub-)millimetre wavelengths, using blindly selected samples of low redshift
sources, unaffected by cosmological evolution. This project, however, requires
careful consideration of a variety of issues including 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 emission,
the effect of density inhomogeneities, and more. We present estimates of the
local luminosity functions at 857 GHz (350 microns), 545 GHz (550 microns) and
353 GHz (850 microns) extending across the characteristic luminosity L_star,
and a preliminary estimate over a limited luminosity range at 217 GHz (1382
microns). At 850 microns and for luminosities L >~ L_star our results agree
with previous estimates, derived from the SCUBA Local Universe Galaxy Survey
(SLUGS), but are higher than the latter at L <~ L_star. We also find good
agreement with estimates at 350 and 500 microns based on preliminary Herschel
survey data.
