On the dimension formula for the hyperfunction solutions of some holonomic D-modules
Complex Variables
2007-05-23 v3 Analysis of PDEs
Abstract
In this short note we improve a dimension formula of Takeuchi for the dimension of the hyperfunction solutions of some holonomic D-modules. Besides the constructibility result and local index formula of Kashiwara for the holomorphic solution complex, we only use a vanishing theorem of Lebeau together with a simple calculation in terms of constructible functions.
Cite
@article{arxiv.math/0304378,
title = {On the dimension formula for the hyperfunction solutions of some holonomic D-modules},
author = {Joerg Schuermann},
journal= {arXiv preprint arXiv:math/0304378},
year = {2007}
}
Comments
8 pages, no figures, final version, to appear in Publ. RIMS