Optimal embeddings of ultradistributions into differential algebras
classification
🧮 math.FA
math.AP
keywords
algebrasultradistributionsanalysisdifferentialembeddingsmicrolocaloptimalspaces
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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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