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We derive for the first time the dust mass function (DMF) in a wide redshiftrange, from z~0.2 up to z~2.5. In order to trace the dust emission, we startfrom a far-IR (160-um) Herschel selected catalogue in the COSMOS field. Weestimate the dust masses by fitting the far-IR data (lam_rest>50um) with amodified black body function and we present a detailed analysis to take intoaccount the incompleteness in dust masses from a far-IR perspective. Byparametrizing the observed DMF with a Schechter function in the redshift range0.1<z<0.25, where we are able to sample faint dust masses, we measure a steepslope (alpha~1.48), as found by the majority of works in the Local Universe. Wedetect a strong dust mass evolution, with M_d^star at z~2.5 almost one dexlarger than in the local Universe, combined with a decrease in their numberdensity. Integrating our DMFs we estimate the dust mass density (DMD), findinga broad peak at z~1, with a decrease by a factor of ~3 towards z~0 and z~2.5.In general, the trend found for the DMD mostly agrees with the derivation ofDriver et al. (2018), another DMD determination based also on far-IRdetections, and with other measures based on indirect tracers.

The dust mass function from z~0 to z~2