  In two previous papers the author introduced a multiplication of
distributions in one dimension and he proved that two one-dimensional Dirac
delta functions and their derivatives can be multiplied, at least under certain
conditions. Here, mainly motivated by some engineering applications in the
analysis of the structures, we propose a different definition of multiplication
of distributions which can be easily extended to any spatial dimension. In
particular we prove that with this new definition delta functions and their
derivatives can still be multiplied.
