  Let $(R, \mf, k_R)$ be regular local $k$-algebra satisfying the weak Jacobian
criterion, such that $k_R/k$ is an algebraic field extension. Let $D_R$ be the
ring of $k$-linear differential operators of $R$. We give an explicit
decomposition of the $D_R$-module $D_R/D_R \mf_R^{n+1}$ as a direct sum of
simple modules, all isomorphic to $D_R/D_R \mf$, where certain "Pochhammer"
differential operators are used to describe generators of the simple
components.
