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.
Cite this article
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