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The Equality of the homogeneous and the Gabor wave front set
Leibniz Universität Hannover, Germany.
Linnaeus University, Faculty of Technology, Department of Mathematics.
2017 (English)In: Communications in Partial Differential Equations, ISSN 0360-5302, E-ISSN 1532-4133, Vol. 42, no 5, p. 703-730Article in journal (Refereed) Published
Abstract [en]

We prove that Hörmander’s global wave front set and Nakamura’s homogeneous wave front set of a tempered distribution coincide. In addition we construct a tempered distribution with a given wave front set, and we develop a pseudodifferential calculus adapted to Nakamura’s homogeneous wave front set.
Place, publisher, year, edition, pages
Taylor & Francis, 2017. Vol. 42, no 5, p. 703-730
National Category
Mathematical Analysis
Research subject
Mathematics, Mathematics; Mathematics, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-61659DOI: 10.1080/03605302.2017.1300173ISI: 000400513700002Scopus ID: 2-s2.0-85018369560OAI: oai:DiVA.org:lnu-61659DiVA, id: diva2:1084141
Available from: 2017-03-23 Created: 2017-03-23 Last updated: 2019-08-29Bibliographically approved

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Wahlberg, Patrik

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