[en] 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 Laplace-isomorphisms. In particular, we show how contour integrations naturally appear in this framework.
Disciplines :
Mathématiques
Auteur, co-auteur :
Dubussy, Christophe ; Université de Liège - ULiège > Département de mathématique > Analyse algébrique
Langue du document :
Anglais
Titre :
Enhanced Laplace transform and holomorphic Paley-Wiener-type theorems
Date de publication/diffusion :
11 juin 2019
Titre du périodique :
Rendiconti del Seminario Matematico della Università di Padova
ISSN :
0041-8994
eISSN :
2240-2926
Maison d'édition :
European Mathematical Society
Volume/Tome :
142
Pagination :
181-209
Peer reviewed :
Peer reviewed
Organisme subsidiant :
F.R.S.-FNRS - Fonds de la Recherche Scientifique [BE]
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