****************************************************** PR # 43049 We propose a deep ASCA observation of one of our deep ROSAT fields Our goals are: (i) to measure individual and summed X-ray spectra of the ROSAT sources in the 2-10keV band, in order to (ii) establish the contribution of ROSAT AGN and X-ray luminous galaxies to the harder XRB; (iii) to search for 2-10 keV emission from other, heavily absorbed AGN or other sources. We focus our attention on a deep ROSAT field where we have achieved a greater than 80\% optical identification rate including redshift information. ******************************************************