L2-boundedness and L2-compactness of a class of semiclassical Fourier integral operators with operator symbol

DOI10.1142/S1793557121500285zbMath1462.35482OpenAlexW3004269926MaRDI QIDQ4985464

Nawel Habel, Abderrahmane Senoussaoui

Publication date: 23 April 2021

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557121500285

zbMATH Keywords

boundednesscompactnessphase functionoperator symbol\(h\)-Fourier integral operators

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Fourier integral operators applied to PDEs (35S30) Pseudodifferential operators (47G30)

Related Items (1)

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Cites Work

• On a class of \(h\)-Fourier integral operators
• Autour de l'approximation semi-classique. (Around semiclassical approximation)
• A class of unbounded Fourier integral operators
• On the unboundedness of a class of Fourier integral operators on \(L^2(\mathbb R^n)\)
• On the boundedness of pseudo-differential operators
• Fourier integral operators. I
• The weyl calculus of pseudo-differential operators
• NewL^p-boundedness properties for the Kontorovich–Lebedev and Mehler–Fock transforms
• An introduction to semiclassical and microlocal analysis
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