Complex Analysis/Algebraic Geometry
Microlocalization with growth conditions of holomorphic functions

Presented by: Jean-Michel Bony

Prelli, Luca1
1 Università degli Studi di Padova, Dipartimento di Matematica Pura ed Applicata, Via Trieste 63, 35121 Padova, Italy
Comptes Rendus. Mathématique, Volume 348 (2010) no. 23-24, pp. 1263-1266.

In this Note we give some applications related to the microlocalization of subanalytic sheaves. We show the existence of a natural action of microlocal operators on tempered and formal microlocalization, and we give some applications to D-modules. We show also the invariance under contact transformations of tempered and formal microlocalization.

Dans cette Note on donne des applications liées à la microlocalisation des faisceaux sous-analytiques. On voit l'existence d'une action naturelle des opérateurs microlocaux sur la microlocalisation tempérée et formelle, et on donne des applications aux D-modules. On voit aussi l'invariance par transformations de contact de la microlocalisation tempérée et formelle.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2010.11.006
Prelli, Luca 1

1 Università degli Studi di Padova, Dipartimento di Matematica Pura ed Applicata, Via Trieste 63, 35121 Padova, Italy 
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Prelli, Luca. Microlocalization with growth conditions of holomorphic functions. Comptes Rendus. Mathématique, Volume 348 (2010) no. 23-24, pp. 1263-1266. doi : 10.1016/j.crma.2010.11.006. https://www.numdam.org/articles/10.1016/j.crma.2010.11.006/

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