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 -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 -modules. On voit aussi l'invariance par transformations de contact de la microlocalisation tempérée et formelle.
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Luca Prelli 1
@article{CRMATH_2010__348_23-24_1263_0, 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}, }
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/
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