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Gabor Analysis for a Broad Class of Quasi-Banach Modulation Spaces
Linnaeus University, Faculty of Technology, Department of Mathematics. (Matematisk modellering, Center för avancerade studier, ICMM)ORCID iD: 0000-0003-1921-8168
2015 (English)In: Pseudo-Differential Operators and Generalized Functions / [ed] Stevan Pilipovic, Joachim Toft, Springer, 2015, 255-284 p.Chapter in book (Refereed)
Abstract [en]

We extend the Gabor analysis in [13] to a broad class of modulation spaces, allowing more general mixed quasi-norm estimates and weights in the definition of the modulation space quasi-norms. For such spaces we deduce invariance and embedding properties, and that the elements admit reconstructible sequence space representations using Gabor frames. We apply these results to show identies between sets of compactly supported elements in modulation spaces and Fourier Lebesgue spaces. 

Place, publisher, year, edition, pages
Springer, 2015. 255-284 p.
Series
Operator theory: Advances and applications, ISSN 0255-0156 ; 245
Keyword [en]
Gabor expansions, modulation spaces, quasi-Banach, Gelfand-Shilov spaces
National Category
Mathematical Analysis
Research subject
Mathematics, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-42260DOI: 10.1007/978-3-319-14618-8_18Scopus ID: 2-s2.0-84959019883ISBN: 978-3-319-14617-1 (print)OAI: oai:DiVA.org:lnu-42260DiVA: diva2:804927
Projects
Matematisk modellering, ICMM
Available from: 2015-04-14 Created: 2015-04-14 Last updated: 2017-01-11Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
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Language
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