On a class of \(h\)-Fourier integral operators

DOI10.2478/DEMA-2014-0047zbMath1298.35262arXiv1302.3846OpenAlexW2964334528MaRDI QIDQ742037

Chahrazed Harrat, Abderrahmane Senoussaoui

Publication date: 17 September 2014

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.3846

zbMATH Keywords

\(h\)-pseudodifferential operators\(h\)-Fourier integral operators

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) General topics in linear spectral theory for PDEs (35P05) Spectrum, resolvent (47A10) Fourier integral operators applied to PDEs (35S30)

Related Items (10)

The boundedness of a class of semiclassical Fourier integral operators on Sobolev space \(H^s\) ⋮ On a class of h-Fourier integral operators with the complex phase ⋮ L ^p -bounds for Fourier integral operators on the torus ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ $h$-Admissible Fourier integral operators ⋮ On the global Lp boundedness of a general class of h-Fourier integral operators ⋮ On \(L^2\)-boundedness of \(h\)-pseudodifferential operators ⋮ L2-boundedness and L2-compactness of a class of semiclassical Fourier integral operators with operator symbol

Cites Work

• Partial differential equations IV: Microlocal analysis and hyperbolic equations. Transl. from the Russian by P.C. Sinha
• Matrix-theoretic \(h\)-admissible operators with operator symbol
• Autour de l'approximation semi-classique. (Around semiclassical approximation)
• A class of unbounded Fourier integral operators
• On the boundedness of pseudo-differential operators
• Fourier integral operators. I
• The weyl calculus of pseudo-differential operators
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