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Pseudo-differential operatorsin a Gelfand–Shilov setting
Università di Torino, Italy.
Linnaeus University, Faculty of Technology, Department of Mathematics. (Matematisk modellering, Center för avancerade studier, ICMM)ORCID iD: 0000-0003-1921-8168
2017 (English)In: Mathematische Nachrichten, ISSN 0025-584X, E-ISSN 1522-2616, Vol. 290, no 5-6, 738-755 p.Article in journal (Refereed) Published
Abstract [en]

We introduce some general classes of pseudodifferential operators with symbols admitting exponential type growth at infinity and we prove mapping properties for these operators on Gelfand–Shilov spaces. Moreover, we deduce composition and certain invariance properties of these classes. 

Place, publisher, year, edition, pages
2017. Vol. 290, no 5-6, 738-755 p.
Keyword [en]
Pseudo-differential operators, Gelfand–Shilov spaces, short-time Fourier transform, modulation spaces
National Category
Mathematical Analysis
Research subject
Mathematics, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-61876DOI: 10.1002/mana.201500465OAI: oai:DiVA.org:lnu-61876DiVA: diva2:1084993
Projects
Matematisk modellering, ICMM
Available from: 2017-03-27 Created: 2017-03-27 Last updated: 2017-04-12Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
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