  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 influence of the
multiple scattering of a projectile (the LPM effect), the polarization 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 interference pattern is given.
