Reference : Enhanced Laplace transform and holomorphic Paley-Wiener-type theorems
Scientific congresses and symposiums : Unpublished conference/Abstract
Physical, chemical, mathematical & earth Sciences : Mathematics
Enhanced Laplace transform and holomorphic Paley-Wiener-type theorems
Dubussy, Christophe mailto [Université de Liège - ULiège > Département de mathématique > Analyse algébrique >]
D-Modules and the Riemann-Hilbert Correspondence
29/04/2019 - 03/05/2019
Bruno Klingler and Thomas Krämer
[en] Laplace transform ; Legendre transform ; Enhanced subanalytic sheaves
[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.
Fédération Wallonie Bruxelles. Fonds de la Recherche Scientifique - F.R.S.-FNRS
Researchers ; Professionals

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