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arXiv · 1601.03512

Optimal embeddings of ultradistributions into differential algebras

Andreas Debrouwere·Hans Vernaeve·Jasson Vindas
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Abstract

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.

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Andreas Debrouwere, Hans Vernaeve, Jasson Vindas. 2016-12-12. Optimal embeddings of ultradistributions into differential algebras. https://doi.org/10.1007/s00605-017-1066-6

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