We formulate the perturbative QCD approach to coherent diffractive dijet pr
oduction in pion-nucleon and pion-nucleus collisions at high energy. For ha
rd dijets the Pomeron splitting mechanism in which both helicity amplitudes
are proportional to the unintegrated gluon structure function of the proto
n F(x,k(2)) and pion distribution amplitude phi (pi)(z) is shown to dominat
e. In nuclear diffraction multiple Pomeron splitting components are found t
o give antishadowing contributions at large jet momentum k. To leading twis
t there is an exact cancellation of effects of nuclear attenuation and anti
shadowing or broadening of multiple Pomeron splitting contributions. The ne
xt-to-leading higher twist correction driven by nuclear rescatterings is ca
lculable in hard QCD and proves to be numerically very large. We argue that
large higher twist effects do not preclude the determination of gross feat
ures of phi (pi)(z). Our results on the atomic mass number and momentum dep
endence of dijet cross sections agree well with the preliminary findings fr
om the E791 experiment.