Specialization of formal cohomology and asymptotic expansions (Q5935919)

Following a work of \textit{E. Andronikov} [`Microlocalisation tempérée', Mém. Soc. Math. Fr., Nouv. Sér. 57 (1994; Zbl 0805.58059)] the author builds a theory of Whitney specialization for \(C^\infty\)-functions and holomorphic functions. To an \(\mathbb{R}\)-constructible sheaf it is associated a \({\mathcal D}\)-module. In particular, the constant sheaf gives the germs of functions asymptotically developable.