Optimal embeddings of ultradistributions into differential algebras
Functional Analysis
2018-07-11 v2 Analysis of PDEs
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.
Keywords
Cite
@article{arxiv.1601.03512,
title = {Optimal embeddings of ultradistributions into differential algebras},
author = {Andreas Debrouwere and Hans Vernaeve and Jasson Vindas},
journal= {arXiv preprint arXiv:1601.03512},
year = {2018}
}
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29 pages