Abstract
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.
Translated title of the contribution | Transformation de Laplace enrichie et théorèmes de type Paley-Wiener |
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Original language | English |
Pages (from-to) | 181-209 |
Number of pages | 29 |
Journal | Rendiconti del Seminario Matematico della Università di Padova |
Volume | 142 |
DOIs | |
Publication status | Published - 11 Jun 2019 |
Externally published | Yes |
Keywords
- Laplace transform
- Legendre transform
- Enhanced subanalytic sheaves
- Paley– Wiener-type theorems