Enhanced Laplace transform and holomorphic Paley-Wiener-type theorems

Dubussy, Christophe

doi:10.4171/RSMUP/36

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Enhanced Laplace transform and holomorphic Paley-Wiener-type theorems

Dubussy, Christophe

2019 • In Rendiconti del Seminario Matematico della Università di Padova, 142, p. 181-209

Peer reviewed

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https://hdl.handle.net/2268/235054

DOI
10.4171/RSMUP/36

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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 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 :

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 :

11 June 2019

Journal title :

Rendiconti del Seminario Matematico della Università di Padova

ISSN :

0041-8994

eISSN :

2240-2926

Publisher :

European Mathematical Society

Volume :

142

Pages :

181-209

Peer reviewed :

Peer reviewed

Funders :

F.R.S.-FNRS - Fonds de la Recherche Scientifique [BE]

Available on ORBi :

since 02 May 2019

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