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.
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.
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@article{CRMATH_2010__348_23-24_1263_0, author = {Prelli, Luca}, 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}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2010.11.006/} }
TY - JOUR AU - Prelli, Luca TI - Microlocalization with growth conditions of holomorphic functions JO - Comptes Rendus. Mathématique PY - 2010 SP - 1263 EP - 1266 VL - 348 IS - 23-24 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2010.11.006/ DO - 10.1016/j.crma.2010.11.006 LA - en ID - CRMATH_2010__348_23-24_1263_0 ER -
%0 Journal Article %A Prelli, Luca %T Microlocalization with growth conditions of holomorphic functions %J Comptes Rendus. Mathématique %D 2010 %P 1263-1266 %V 348 %N 23-24 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2010.11.006/ %R 10.1016/j.crma.2010.11.006 %G en %F CRMATH_2010__348_23-24_1263_0
Prelli, Luca. Microlocalization with growth conditions of holomorphic functions. Comptes Rendus. Mathématique, Tome 348 (2010) no. 23-24, pp. 1263-1266. doi : 10.1016/j.crma.2010.11.006. http://archive.numdam.org/articles/10.1016/j.crma.2010.11.006/
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