Geodesic
\(L^2\)-boundedness and \(L^2\)-compactness of a class of Fourier integral operators
Electronic journal of differential equations, Tome 2006 (2006)
In this paper, we study the $L^2$-boundedness and $L^2$-compactness of a class of Fourier integral operators. These operators are bounded (respectively compact) if the weight of the amplitude is bounded (respectively tends to 0).
Classification : 35S30, 35S05, 47A10, 35P05
Keywords: Fourier integral operators, pseudodifferential operators, symbol and phase, boundedness and compactness 
@article{EJDE_2006__2006__a93,
     author = {Messirdi,  Bekkai and Senoussaoui,  Abderrahmane},
     title = {\(L^2\)-boundedness and {\(L^2\)-compactness} of a class of {Fourier} integral operators},
     journal = {Electronic journal of differential equations},
     year = {2006},
     volume = {2006},
     zbl = {1166.35039},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a93/}
}
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Messirdi,  Bekkai; Senoussaoui,  Abderrahmane. \(L^2\)-boundedness and \(L^2\)-compactness of a class of Fourier integral operators. Electronic journal of differential equations, Tome 2006 (2006). http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a93/