Resumen de Irregular holonomic kernels and Laplace transform

Masaki Kashiwara, Pierre Schapira

• Given a (not necessarily regular) holonomic DD -module LL defined on the product of two complex manifolds, we prove that the correspondence associated with LL 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.