Specialization of Formal Cohomology and Asymptotic Expansions
Violaine ColinUniversidade de Lisboa, Portugal
Following a work of Andronikof, we build a theory of Whitney specialization for _C_∞-functions and holomorphic functions. To a ℝ-constructible sheaf, we associate a D-module. In particular, the constant sheaf gives the germs of functions asymptotically developable.
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Violaine Colin, Specialization of Formal Cohomology and Asymptotic Expansions. Publ. Res. Inst. Math. Sci. 37 (2001), no. 1, pp. 37–69DOI 10.4171/PRIMS/37.1.2