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In a companion paper (Arnouts et al. 2004) we presented new measurements ofthe galaxy luminosity function at 1500 Angstroms out to z~1 using GALEX-VVDSobservations (1039 galaxies with NUV<24.5 and z>0.2) and at higher z usingexisting data sets. In this paper we use the same sample to study evolution ofthe FUV luminosity density. We detect evolution consistent with a(1+z)^{2.5+/-0.7} rise to z~1 and (1+z)^{0.5+/-0.4} for z>1. The luminositydensity from the most UV-luminous galaxies (UVLG) is undergoing dramaticevolution (x30) between 0<z<1. UVLGs are responsible for a significant fraction(>25%) of the total FUV luminosity density at z<1. We measure dust attenuationand star formation rates of our sample galaxies and determine the starformation rate density as a function of redshift, both uncorrected andcorrected for dust. We find good agreement with other measures of the SFRdensity in the rest ultraviolet and Halpha given the still significantuncertainties in the attenuation correction.

The GALEX -VVDS Measurement of the Evolution of the Far-Ultraviolet Luminosity Density and the Cosmic Star Formation Rate