Irregular holonomic kernels and Laplace transform
  Given a (not necessarily regular) holonomic D-module defined on the product of two complex manifolds, we prove that the associated correspondence commutes (in some sense) with the De Rham functor. We apply this result to the study of the classical Laplace transform. The main tools used here are the theory of ind-sheaves and its enhanced version. 
Masaki Kashiwara and Pierre Schapira
math.AG math.CV