If I have a D-module $M$ on $\mathbb{A}^n$ (which is essentially the same thing as a module over the Weyl algebra), then I can push this D-module forward to $\mathbb{P}^n$ to get a D-module $j_*M$ on the projective closure.

Is there an intrinsic description of those $M$ such that $j_*M$ are regular on the divisor at $\infty$?