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Microlocalization of subanalytic sheaves. (English) Zbl 1159.14034

Summary: 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 E. Andronikov [Microlocalisation tempérée, Mém. Soc. Math. Fr., Nouv. Sér. 57 (1994; Zbl 0805.58059)] and V. Colin [C. R. Acad. Sci., Paris, Sér. I, Math. 327, No. 3, 289–293 (1998; Zbl 0945.58019)].

MSC:

14P15 Real-analytic and semi-analytic sets
32C38 Sheaves of differential operators and their modules, \(D\)-modules
32B20 Semi-analytic sets, subanalytic sets, and generalizations
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References:

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[2] Colin, V., Formal microlocalization, C. R. Acad. Sci. Paris, Ser. I, 327, 289-293 (1998) · Zbl 0945.58019
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