The radiation from high-energy electrons is investigated for the case when
a target consists of several separated plates. The spectrum of radiation is
considered in the region in which the bremsstrahlung is under the influenc
e of the multiple scattering of a projectile (the LPM effect); the polariza
tion of a medium and the hard part of the boundary radiation contribute. In
this region the general expression for the radiation spectrum is obtained
for the N-plate target. A qualitative description of the arising interferen
ce pattern is given. [S0556-2821(99)04813-4].