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Wave-front sets related to quasi-analytic Gevrey sequences
Univ Novi Sad, Serbia.
Linnaeus University, Faculty of Technology, Department of Mathematics.ORCID iD: 0000-0003-1921-8168
2019 (English)In: Publications de l'Institut Mathématique (Beograd), ISSN 0350-1302, E-ISSN 1820-7405, Vol. 105, no 119, p. 1-16Article in journal (Refereed) Published
Abstract [en]

Quasi-analytic wave-front sets of distributions which correspond to the Gevrey sequence p!(s), s is an element of [1/2, 1) are defined and investigated. The propagation of singularities are deduced by considering sequences of Gaussian windowed short-time Fourier transforms of distributions which are modifications of the original distributions by suitable restriction-extension techniques. Basic micro-local properties of the new wave-fronts are thereafter established.

Place, publisher, year, edition, pages
Publications de l'Institut Mathématique , 2019. Vol. 105, no 119, p. 1-16
Keywords [en]
wave-front sets, ultradistributions
National Category
Mathematics
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-86922DOI: 10.2298/PIM1919001PISI: 000472506500001Scopus ID: 2-s2.0-85066126756OAI: oai:DiVA.org:lnu-86922DiVA, id: diva2:1337936
Available from: 2019-07-18 Created: 2019-07-18 Last updated: 2019-08-29Bibliographically approved

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Toft, Joachim

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