Reference : Enhanced Laplace transform and holomorphic Paley-Wiener-type theorems
Scientific journals : Article
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 >]
In press
Rendiconti del Seminario Matematico della Università di Padova
[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 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.
Fédération Wallonie Bruxelles. Fonds de la Recherche Scientifique - F.R.S.-FNRS
Researchers ; Professionals

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