  We consider the space of convex functions defined in the Euclidean
$n$-dimensional space, which are lower semi-continuous and tend to infinity at
infinity. We study real-valued valuations defined on this space of functions,
which are invariant under the composition with rigid motions, monotone and
verify a certain type of continuity. Among these valuations we prove integral
representation formulas for those which are, additionally, simple or
homogeneous.
