Classical sheaf theory is not well suited to study objects which are defined by growth conditions as tempered and Whitney functions. For this reason we have to work in a bigger category where this kind of objects are well defined, the category of subanalytic sheaf. The talk is divided in two parts. In the first one we will introduce the notion of subanalytic sheaves and give several examples in order to show how they permit to treat more functional objects than classical sheaves. In the second we will discuss some applications to D-modules.
Seminar on Analysis at University of Tsukuba