Optimal embeddings of ultradistributions into differential algebras

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.

29 pages

References in corpus (2)

• Embeddings of ultradistributions and periodic hyperfunctions in Colombeau type algebras through sequence spaces
• Discrete characterizations of wave front sets of Fourier-Lebesgue and quasianalytic type

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