Optimal embeddings of ultradistributions into differential algebras
  We construct embeddings of spaces of non-quasianalytic ultradistributions into differential algebras enjoying optimal properties in view of a Schwartz type impossibility result, also shown in this article. We develop microlocal analysis in theses algebras consistent with the microlocal analysis in the corresponding spaces of ultradistributions. 
Andreas Debrouwere, Hans Vernaeve, Jasson Vindas
math.FA math.AP