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Recently, the availability of new high-spatial and -temporal resolutionobservations of the solar photosphere has allowed the study of the oscillationsin small magnetic elements. Small magnetic elements have been found to host arich variety of oscillations detectable as intensity, longitudinal ortransverse velocity fluctuations which have been interpreted as MHD waves.Small magnetic elements, at or below the current spatial resolution achieved bymodern solar telescopes, are though to play a relevant role in the energybudget of the upper layers of the Sun's atmosphere, as they are found to covera significant fraction of the solar photosphere. Unfortunately, the limitedtemporal length and/or cadence of the data sets, or the presence ofseeing-induced effects have prevented, so far, the estimation of the powerspectra of kink-like oscillations in small magnetic elements with goodaccuracy. Motivated by this, we studied kink-like oscillations in smallmagnetic elements, by exploiting very long duration and high-cadence dataacquired with the Solar Optical Telescope on board the Hinode satellite. Inthis work we present the results of this analysis, by studying the powerspectral density of kink-like oscillations on a statistical basis. We foundthat small magnetic elements exhibit a large number of spectral features in therange 1-12 mHz. More interestingly, most of these spectral features are notshared among magnetic elements but represent a unique signature of eachmagnetic element itself.

The spectrum of kink-like oscillations of solar photospheric magnetic elements