Enhanced Laplace transform and holomorphic Paley-Wiener theorems

In this talk we explain how the Kashiwara-Schapira isomorphism for the enhanced Laplace transform can be seen as the usual Laplace transform for enhanced distributions. From this observation, we derive two holomorphic Paley-Wiener theorems which can be seen as tempered versions of the classical Polya's representation theorem and Méril's theorem. In particular, we show how the contour integrations naturally arise in this context.