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Micro-local analysis in some spaces of ultradistributions
Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics. (Matematisk modellering)
Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics. (Matematisk modellering, Center för avancerade studier)ORCID iD: 0000-0003-1921-8168
2012 (English)In: Publications de l'Institut Mathématique (Beograd), ISSN 0350-1302, E-ISSN 1820-7405, Vol. 92, no 106, 1-24 p.Article in journal (Refereed) Published
Abstract [en]

We extend some results from [14] and [19], concerning wave-front sets of Fourier–Lebesgue and modulation space types, to a broader class of spaces of ultradistributions. We relate these wave-front sets one to another and to the usual wave-front sets of ultradistributions.

Furthermore, we give a description of discrete wave-front sets by intro- ducing the notion of discretely regular points, and prove that these wave-front sets coincide with corresponding wave-front sets in [19]. Some of these inves- tigations are based on the properties of the Gabor frames.

Place, publisher, year, edition, pages
Belgrad, Serbien, 2012. Vol. 92, no 106, 1-24 p.
Keyword [en]
Wave-front sets, weighted Fourier-Lebesgue spaces, ultradistributions
National Category
Mathematical Analysis
Research subject
Mathematics, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-22564DOI: 10.2298/PIM1206001JOAI: oai:DiVA.org:lnu-22564DiVA: diva2:571065
Projects
Matematisk modellering
Available from: 2012-11-21 Created: 2012-11-21 Last updated: 2017-03-08Bibliographically approved

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Johansson, KarolineToft, Joachim
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Citation style
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