Microlocalization with growth conditions of holomorphic functions

Luca Prelli

doi:10.1016/j.crma.2010.11.006

Complex Analysis/Algebraic Geometry

Microlocalization with growth conditions of holomorphic functions
[Microlocalisation à croissance des fonctions holomorphes]

Présenté par : Jean-Michel Bony

Luca Prelli ¹

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.

Résumé
Abstract

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.

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.

Reçu le : 2010-03-23
Accepté le : 2010-11-08
Publié le : 2010-11-23

DOI : 10.1016/j.crma.2010.11.006

Affiliations des auteurs :

Luca Prelli ¹

¹ Università degli Studi di Padova, Dipartimento di Matematica Pura ed Applicata, Via Trieste 63, 35121 Padova, Italy

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     author = {Luca Prelli},
     title = {Microlocalization with growth conditions of holomorphic functions},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {1263--1266},
     publisher = {Elsevier},
     volume = {348},
     number = {23-24},
     year = {2010},
     doi = {10.1016/j.crma.2010.11.006},
     language = {en},
}

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Luca Prelli. 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://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2010.11.006/

Bibliographie
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