[en] Starting from a remark about the computation of Kashiwara-Schapira’s enhanced Laplace transform by using the Dolbeault complex of enhanced distributions, we will explain how to obtain explicit holomorphic PaleyWiener-type theorems. As an example, we will get back some classical theorems due to Polya and Méril. In particular, we will show how contour integrations naturally appear in this framework.
Disciplines :
Mathematics
Author, co-author :
Dubussy, Christophe ; Université de Liège - ULiège > Département de mathématique > Analyse algébrique
Language :
English
Title :
Enhanced Laplace transform and holomorphic Paley-Wiener-type theorems