Starting from a remark about the computation of Kashiwara-Schapira's enhanced Laplace transform by using the Dolbeault complex of enhanced distributions, we explain how to obtain explicit holomorphic Paley-Wiener-type theorems. As an example, we get back some classical theorems due to Polya and Méril as limits of tempered Laplaceisomorphisms. In particular, we show how contour integrations naturally appear in this framework.Bât. B37, Analyse algébrique, Quartier Polytech 1, Allée de la découverte 12,

In this article, we explain the link between Pohlen's extended Hadamard product and the holomorphic cohomological convolution on C * . For this purpose, we introduce a generalized Hadamard product, which is defined even if the holomorphic functions do not vanish at infinity, as well as a notion of strongly convolvable sets.

In this article we explain the link between Pohlen's extended Hadamard product and the holomorphic cohomological convolution on C * . For this purpose we introduce a generalized Hadamard product, which is defined even if the holomorphic functions do not vanish at infinity, as well as a notion of strongly convolvable sets.