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Strong ultra-regularity properties for positive elements in the twisted convolutions

We show that positive elements with respect to the twisted convolutions, belonging to some ultra-test function space of certain order at origin, belong to the ultra-test function space of the same order everywhere. We apply the result to positive semi-definite Weyl operators.

preprint2016arXivOpen access
Yuanyuan Chen
math.FA
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Yuanyuan Chen

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