  We construct off-diagonal parton distributions defined on the interval 0 < X
< 1 starting from the off-forward distributions defined by Ji. We emphasize the
particular role played by the symmetry relations in the "ERBL-like" region. We
find the evolution equations for the off-diagonal distributions which conserve
these symmetries. We present numerical results of the evolution, and verify
that the analytic asymptotic forms of the parton distributions are reproduced.
We also compare the constructed off-diagonal distributions with the non-forward
distributions defined by Radyushkin and comment on the singularity structure of
the basic amplitude written in terms of the off-diagonal distributions.
