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Enhanced Laplace transform and holomorphic Paley-Wiener-type theorems
Dubussy, Christophe
2019D-Modules and the Riemann-Hilbert Correspondence
 

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Keywords :
Laplace transform; Legendre transform; Enhanced subanalytic sheaves
Abstract :
[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
Publication date :
03 May 2019
Event name :
D-Modules and the Riemann-Hilbert Correspondence
Event organizer :
Bruno Klingler and Thomas Krämer
Event place :
Berlin, Germany
Event date :
29/04/2019 - 03/05/2019
By request :
Yes
Funders :
Fédération Wallonie Bruxelles. Fonds de la Recherche Scientifique - F.R.S.-FNRS
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since 03 May 2019

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