[en] In this talk we explain how the Kashiwara-Schapira isomorphism for the enhanced Laplace transform can be seen as the usual Laplace transform for enhanced distributions. From this observation, we derive two holomorphic Paley-Wiener theorems which can be seen as tempered versions of the classical Polya's representation theorem and Méril's theorem. In particular, we show how the contour integrations naturally arise in this context.
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 theorems
Alternative titles :
[en] Transformation de Laplace enrichie et théorèmes de type Paley-Wiener holomorphes
Publication date :
27 June 2018
Number of pages :
40
Event name :
FASPDE18 - Padova
Event organizer :
University of Padova
Event place :
Padova, Italy
Event date :
du 26 juin 2018 au 29 juin 2018
By request :
Yes
Audience :
International
Funders :
F.R.S.-FNRS - Fonds de la Recherche Scientifique [BE]
