On positivity in algebras of tempered generalized functions

Details On positivity in algebras of tempered generalized functions On positivity in algebras of tempered generalized functions

2008-08-06

arxiv.org/abs/0808.0789v1

Mathematics

Functional Analysis

9 pages, research notes

Scientific paper

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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