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A calculus of Fourier integral operators with inhomogeneous phase functions on Rd
Università degli Studi di Torino, Italy.
Linnaeus University, Faculty of Technology, Department of Mathematics. (Matematisk modellering, Center för avancerade studier, ICMM)ORCID iD: 0000-0003-1921-8168
2016 (English)In: Indian journal of pure and applied mathematics, ISSN 0019-5588, E-ISSN 0975-7465, Vol. 47, no 1, p. 125-166Article in journal (Refereed) Published
Abstract [en]

We construct a calculus for generalized SG Fourier integral operators, extending known results to a broader class of symbols of SG type. In particular, we do not require that the phase func- tions are homogeneous. An essential ingredient in the proofs is a general criterion for asymptotic expansions within the Weyl-Hörmander calculus. We also prove the L^2(R^d)-boundedness of the generalized SG Fourier integral operators having regular phase functions and amplitudes uni- formly bounded on R^{2d}.

Place, publisher, year, edition, pages
Springer, 2016. Vol. 47, no 1, p. 125-166
Keywords [en]
Fourier integral operator, Weyl-Ho ̈rmander calculus, micro-local analysis.
National Category
Mathematical Analysis
Research subject
Mathematics, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-50414DOI: 10.1007/s13226-016-0181-8ISI: 000373307800010Scopus ID: 2-s2.0-84961599146OAI: oai:DiVA.org:lnu-50414DiVA, id: diva2:910397
Projects
Matematisk modelleringAvailable from: 2016-03-09 Created: 2016-03-09 Last updated: 2017-11-28Bibliographically approved

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Toft, Joachim

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  • nn-NB
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  • Other locale
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