  Euler operators are partial differential operators of the form $P(\theta)$
where $P$ is a polynomial and $\theta_j = x_j \partial/\partial x_j$. We show
that every non-trivial Euler operator is surjective on the space of temperate
distributions on $R^d$. This is in sharp contrast to the behaviour of such
operators when acting on spaces of differentiable or analytic functions.
