Abstract: Luminosity functions are one of the most important observational clues when studying galaxy evolution over cosmic time. In this paper we present the X-ray luminosity functions for X-ray detected AGN in the SXDS and GWS fields. The limiting fluxes of our samples are 9.0 ×10?15 and 4.8 ×10?16 erg cm?2 s?1 in the 0.5?7.0 keV band in the two fields, respectively. We carried out analysis in three X-ray bands and in two redshift intervals up to z ? 1.4. Moreover, we derive the luminosity functions for different optical morphologies and X-ray types. We confirm strong luminosity evolution in all three bands, finding the most luminous objects at higher redshift. However, no signs of density evolution are found in any tested X-ray band. We obtain similar results for compact and early-type objects. Finally, we observe the ?Steffen effect?, where X-ray type-1 sources are more numerous at higher luminosities in comparison with type-2 sources. (© 2013 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

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