  General expressions for the unpolarized differential cross section and for
various polarization observables in the coherent pseudoscalar meson photo- and
electroproduction on the deuteron target have been obtained in
one-photon-exchange approximation. The spin structure of the matrix element is
explicitly derived in terms of structure functions. The correspondence with the
helicity amplitudes is given. The polarization effects have been investigated
for the case of a longitudinally polarized electron beam and vector or tensor
polarized deuteron target. The polarization (vector or tensor) of the scattered
deuteron for the case of unpolarized or a longitudinally polarized electron
beam is also considered. In the case of the photoproduction reaction, we
consider linearly, circularly or elliptically polarized photon beam. Numerical
estimations have been done for the unpolarized differential cross section and
for some polarization observables.
