  We calculate the radiation accompanying gravitational collision of the domain
wall and the point particle in five-dimensional spacetime. This process, which
can be regarded as brane-particle bremsstrahlung, here called {\it
branestrahlung}, has unusual features. Since the brane has intrinsic dynamics,
it gets excited in the course of collision, and, in particular, at the moment
of perforation the shock branon wave is generated, which then expands with the
velocity of light. Therefore, apart from the time-like source, whose radiation
can be computed in a standard way, the total radiation source contains a
light-like part whose retarded field is quite non-trivial, exhibiting
interesting retardation and memory effects. We analyze this field in detail,
showing that, contrary to the claims that the light-like sources should not
radiate at all, the radiation is non-zero and has classically divergent
spectrum. We estimate the total radiation power introducing appropriate
cutoffs. In passing, we explain how the sum of the non-local (with the support
inside the light cone) and the local (supported on the cone) singular parts of
the Green's function of the five-dimensional d'Alembert equation together
define a regular functional.
