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arXiv · 0808.0789

On positivity in algebras of tempered generalized functions

Eberhard Mayerhofer
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Abstract

An explicit counterexample shows that contrary to the situation in the special Colombeau algebra, positivity and invertibility cannot be characterized pointwise in algebras of tempered generalized functions. Further a point value characterization of the latter is refined.

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Eberhard Mayerhofer. 2008-08-06. On positivity in algebras of tempered generalized functions. https://arxiv.org/abs/0808.0789

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