Specialization of Formal Cohomology and Asymptotic Expansions

  • Violaine Colin

    Universidade de Lisboa, Portugal

Abstract

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. 37–69

DOI 10.4171/PRIMS/37.1.2