We investigate the evolution of the galaxy luminosity function from the VIMOS-VLT Deep Survey ( VVDS ) from the present to z~ { } = ~ { } 2 in five ( U , B , V , R and I ) rest-frame band-passes .
We use the first epoch VVDS deep sample of 11,034 spectra selected at 17.5 \leq I _ { AB } \leq 24.0 , on which we apply the Algorithm for Luminosity Function ( ALF ) , described in this paper .
We observe a substantial evolution with redshift of the global luminosity functions in all bands .
From z~ { } = ~ { } 0.05 to z~ { } = ~ { } 2 , we measure a brightening of the characteristic magnitude M ^ { * } included in the magnitude range 1.8 - 2.5 , 1.7 - 2.4 , 1.2 - 1.9 , 1.1 - 1.8 and 1.0 - 1.6 in the U , B , V , R and I rest-frame bands , respectively .
We confirm this differential evolution of the luminosity function with rest-frame wavelength from the measurement of the comoving density of bright galaxies ( M \leq M ^ { * } ( z~ { } = ~ { } 0.1 ) ) .
This density increases by a factor of around 2.6 , 2.2 , 1.8 , 1.5 , 1.5 between z = 0.05 and z = 1 in the U , B , V , R , I bands , respectively .
We also measure a possible steepening of the faint-end slope of the luminosity functions , with \Delta \alpha~ { } \sim~ { } -0.3 between z = 0.05 and z = 1 , similar in all bands .