****************************************************** PR # 11195 We propose to extend our highly successful ROSAT deep survey program to hard X-ray energies. We focus our attention on our ROSAT fields where we have so far spectroscopically identified 75 per cent of our X-ray sources. This unique database will: (i) assess the AGN contribu tion to the hard X-ray background by determining the X-ray spectral properties of the numerous, faint, high redshift AGN and by constrain ing the X-ray luminosity function and its evolution with redshift; (ii) resolve about half of the hard X-ray background and determine whether a population of sources other than the AGN detected in optic- al and ROSAT surveys contribute an appreciable fraction to the hard X-ray background. ******************************************************