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A note on wave-front sets of Roumieu type ultradistributions
Linnaeus University, Faculty of Technology, Department of Mathematics. (Matematisk modellering)
University of Novi Sad, Serbia .
University of Novi Sad, Serbia .
Linnaeus University, Faculty of Technology, Department of Mathematics. (Matematisk modellering, Center för avancerade studier, ICMM)ORCID iD: 0000-0003-1921-8168
2013 (English)In: Pseudo-Differential Operators, Generalized Functionsand Asymptotics / [ed] S. Molahajlo, S. Pilipovic, J. Toft, M. W. Wong, Basel Heidelberg NewYork Dordrecht London: Springer, 2013, 239-252 p.Chapter in book (Refereed)
Abstract [en]

We study wave-front sets in weighted Fourier–Lebesgue spaces and corresponding spaces of ultradistributions. We give a comparison of these sets with the well-known wave-front sets of Roumieu type ultradistributions. Then we study convolution relations in the framework of ultradistributions. Finally, we introduce modulation spaces and corresponding wave-front sets, and establish invariance properties of such wave-front sets.

Place, publisher, year, edition, pages
Basel Heidelberg NewYork Dordrecht London: Springer, 2013. 239-252 p.
Series
Operator Theory: Advances and applications, 231
National Category
Mathematical Analysis
Research subject
Mathematics, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-52519DOI: 10.1007/978-3-0348-0585-8_12OAI: oai:DiVA.org:lnu-52519DiVA: diva2:928937
Projects
Matematisk modellering, ICMM
Available from: 2016-05-17 Created: 2016-05-17 Last updated: 2017-03-09Bibliographically approved

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Publisher's full texthttp://link.springer.com/chapter/10.1007%2F978-3-0348-0585-8_12

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CiteExportLink to record
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Citation style
  • apa
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