Electronic Journal of Differential Equations,
Vol. 2006(2006), No. 26, pp. 1-12.

Title: $L^2$-boundedness and $L^2$-compactness of a class of
       Fourier integral operators
       
Authors: Bekkai Messirdi (Univ. d'Oran Es-Senia, Algeria)
         Abderrahmane Senoussaoui (Univ. d'Oran Es-Senia, Algeria)

Abstract: 
 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).
 
Submitted June 10, 2005. Published March 9, 2006.
Math Subject Classifications: 35S30, 35S05, 47A10, 35P05.
Key Words: Fourier integral operators; pseudodifferential operators;
           symbol and phase; boundedness and compactness.