Stratified Whitney jets and tempered ultradistributions on the subanalytic site

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dc.creatorHonda, N.
dc.creatorMorando, G.
dc.date2009-03-10
dc.date.accessioned2026-07-07T12:50:50Z
dc.date.available2026-07-07T12:50:50Z
dc.descriptionIn 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.
dc.identifierhttps://arxiv.org/abs/0903.1714
dc.identifierhttp://arxiv.org/abs/0903.1714
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222805
dc.subjectFunctional Analysis
dc.subjectAlgebraic Geometry
dc.subject46M20 (Primary) 46F05, 32B20, 32C38 (Secondary)
dc.titleStratified Whitney jets and tempered ultradistributions on the subanalytic site
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