Results are presented on the inclusive production of isolated prompt photons
in deep inelastic scattering with a four-momentum transfer of Q2 > 4 GeV2.
The cross sections are measured for the transverse momentum range of
the photons 3 < ETg < 10 GeV and for the pseudorapidity range of
the photons -1.2 < hg < 1.8. They are measured differentially as a
function of ETg and hg.
The results are compared with the
predictions of a new leading order calculation, which is in reasonable
agreement with the inclusive measurement. Comparisons with the predictions of
the event generators PYTHIA and HERWIG are also presented.