Colin, Violaine Specialization of formal cohomology and asymptotic expansions. (English) Zbl 0980.32004 Publ. Res. Inst. Math. Sci. 37, No. 1, 37-69 (2001). Following a work of 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. Reviewer: Viorel Vâjâitu (Bucureşti) Cited in 1 ReviewCited in 1 Document MSC: 32C38 Sheaves of differential operators and their modules, \(D\)-modules 34E05 Asymptotic expansions of solutions to ordinary differential equations 34M30 Asymptotics and summation methods for ordinary differential equations in the complex domain Keywords:asymptotic expansions; \({\mathcal D}\)-module; \(C^\infty\)-functions; Whitney specialization; holomorphic functions Citations:Zbl 0805.58059 PDFBibTeX XMLCite \textit{V. Colin}, Publ. Res. Inst. Math. Sci. 37, No. 1, 37--69 (2001; Zbl 0980.32004) Full Text: DOI Euclid