We extend the notion of specialization functor to the case of several closed submanifolds satisfying some suitable conditions. Applying this functor to the sheaf of Whitney holomorphic functions we construct different kinds of sheaves of multi-asymptotically developable functions, whose definitions are natural extensions of the definition of strongly asymptotically developable functions introduced by Majima.
Publié le : 2011-05-15
Classification:
Normal deformation,
asymptotic expansions,
sheaves on subanalytic sites,
32C38,
35A27,
41A60,
34M30
@article{1303825549,
author = {Honda, Naofumi and Prelli, Luca},
title = {Multi-specialization and multi-asymptotic expansions},
journal = {Proc. Japan Acad. Ser. A Math. Sci.},
volume = {87},
number = {1},
year = {2011},
pages = { 69-72},
language = {en},
url = {http://dml.mathdoc.fr/item/1303825549}
}
Honda, Naofumi; Prelli, Luca. Multi-specialization and multi-asymptotic expansions. Proc. Japan Acad. Ser. A Math. Sci., Tome 87 (2011) no. 1, pp. 69-72. http://gdmltest.u-ga.fr/item/1303825549/