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Conormal distributions in the Shubin calculus of pseudodifferential operators
Universtiy of Torino, Italy.
Leibniz Universität Hannover, Germany.
Linnaeus University, Faculty of Technology, Department of Mathematics.
2018 (English)In: Journal of Mathematical Physics, ISSN 0022-2488, E-ISSN 1089-7658, Vol. 59, no 2, article id 021502Article in journal (Refereed) Published
Abstract [en]

We characterize the Schwartz kernels of pseudodifferential operators of Shubin type by means of a Fourier-Bros-Iagolnitzer transform. Based on this, we introduce as a generalization a new class of tempered distributions called Shubin conormal distributions. We study their transformation behavior, normal forms, and microlocal properties.

Place, publisher, year, edition, pages
American Institute of Physics (AIP), 2018. Vol. 59, no 2, article id 021502
National Category
Mathematical Analysis
Research subject
Mathematics, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-70554DOI: 10.1063/1.5022778ISI: 000426583800002OAI: oai:DiVA.org:lnu-70554DiVA, id: diva2:1180882
Available from: 2018-02-07 Created: 2018-02-07 Last updated: 2018-03-22Bibliographically approved

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Wahlberg, Patrik

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