Mathematical Analysis
Microlocalization of subanalytic sheaves

Presented by: Gilles Lebeau

Prelli, Luca1
1 Institut de mathématiques, Université Pierre-et-Marie-Curie, 175, rue du Chevaleret, 75013 Paris, France
Comptes Rendus. Mathématique, Volume 345 (2007) no. 3, pp. 127-132.

In this Note we define specialization and microlocalization for sheaves on the subanalytic site. Applying these functors to the sheaves of tempered and Whitney holomorphic functions we get a unifying description of tempered and formal microlocalization of Andronikof (1994) and Colin (1998).

Dans cette Note, nous définissons la spécialisation et la microlocalisation des faisceaux sous-analytiques. En appliquant ces foncteurs aux faisceaux des fonctions holomorphes tempérées et de Whitney on obtient une description unifiée de la microlocalisation tempérée et formelle de Andronikof (1994) et de Colin (1998).

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2007.06.017
Prelli, Luca 1

1 Institut de mathématiques, Université Pierre-et-Marie-Curie, 175, rue du Chevaleret, 75013 Paris, France 
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Prelli, Luca. Microlocalization of subanalytic sheaves. Comptes Rendus. Mathématique, Volume 345 (2007) no. 3, pp. 127-132. doi : 10.1016/j.crma.2007.06.017. https://www.numdam.org/articles/10.1016/j.crma.2007.06.017/

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[8] Prelli, L. Sheaves on subanalytic sites, 2005 (arXiv:) | arXiv

[9] Prelli, L. Microlocalization of subanalytic sheaves, 2007 (arXiv:) | arXiv

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