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arXiv · 0903.1714

Stratified Whitney jets and tempered ultradistributions on the subanalytic site

N. Honda·G. Morando
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Abstract

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.

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N. Honda, G. Morando. 2009-03-10. Stratified Whitney jets and tempered ultradistributions on the subanalytic site. https://arxiv.org/abs/0903.1714

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