%0 Journal Article
%T Stratified Whitney jets and tempered ultradistributions on the subanalytic site
%A N. Honda
%A G. Morando
%J Mathematics
%D 2009
%I arXiv
%X In this paper we introduce the sheaf of stratified Whitney jets of Gevrey order on the subanalytic site relative to a real analytic manifold X. Then we define stratified ultradistributions of Beurling and Roumieu type on X. In the end, by means of stratified ultradistributions, we define tempered-stratified ultradistributions and we prove two results. First, if X is a real surface, the tempered-stratified ultradistributions define a sheaf on the subanalytic site relative to X. Second, the tempered-stratified ultradistributions on the complementary of a 1-regular closed subset of X coincide with the sections of the presheaf of tempered ultradistributions.
%U http://arxiv.org/abs/0903.1714v1