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Strong ultra-regularity properties for positive elements in the twisted convolutions
Linnaeus University, Faculty of Technology, Department of Mathematics.
2017 (English)In: Journal of Pseudo-Differential Operators and Applications, ISSN 1662-9981, E-ISSN 1662-999X, Vol. 8, no 4, p. 707-721Article in journal (Refereed) Published
Abstract [en]

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.
Place, publisher, year, edition, pages
Springer, 2017. Vol. 8, no 4, p. 707-721
Keywords [en]
Ultra-distributions, Twisted convolution, Hermite series expansions, Weyl quantization
National Category
Mathematics
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-68786DOI: 10.1007/s11868-017-0219-7ISI: 000413661900007Scopus ID: 2-s2.0-85032260372OAI: oai:DiVA.org:lnu-68786DiVA, id: diva2:1157762
Available from: 2017-11-16 Created: 2017-11-16 Last updated: 2019-08-29Bibliographically approved

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Chen, Yuanyuan

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