The miniJPAS survey. Evolution of the luminosity and stellar mass functions of galaxies up to z sim 0.7

We aim at developing a robust methodology for constraining the luminosity and stellar mass functions (LMFs) of galaxies by solely using data from multi-filter surveys and testing the potential of these techniques for determining the evolution of the miniJPAS LMFs up to $z\sim0.7$. Stellar mass and $B$-band luminosity for each of the miniJPAS galaxies are constrained using an updated version of the SED-fitting code MUFFIT, whose values are based on composite stellar population models and the probability distribution functions of the miniJPAS photometric redshifts. Galaxies are classified through the stellar mass versus rest-frame colour diagram corrected for extinction. Different stellar mass and luminosity completeness limits are set and parametrised as a function of redshift, for setting limits in our flux-limited sample ($r_\mathrm{SDSS}<22$). The miniJPAS LMFs are parametrised according to Schechter-like functions via a novel maximum likelihood method accounting for uncertainties, degeneracies, probabilities, completeness, and priors. Overall, our results point to a smooth evolution with redshift ($0.05<z<0.7$) of the miniJPAS LMFs in agreement with previous work. The LMF evolution of star-forming galaxies mainly involve the bright and massive ends of these functions, whereas the LMFs of quiescent galaxies also exhibit a non-negligible evolution on their faint and less massive ends. The cosmic evolution of the global $B$-band luminosity density decreases ~0.1 dex from $z=0.7$ to 0, whereas for quiescent galaxies this quantity roughly remains constant. In contrast, the stellar mass density increases ~0.3 dex at the same redshift range, where such evolution is mainly driven by quiescent galaxies owing to an overall increasing number of this kind of galaxies, which in turn includes the majority and most massive galaxies (60-100% fraction of galaxies at $\log_{10}(M_\star/M_\odot)>10.7$).