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Parcourir Publications scientifiques par auteur "Senoussaoui, Abderrahmane"

Parcourir Publications scientifiques par auteur "Senoussaoui, Abderrahmane"

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  • -boundedness and-compactness of a class of Fourier integral operators. 
    Messirdi, Bekkai; Senoussaoui, Abderrahmane (Electronic Journal of Differential Equations (EJDE)[electronic only], 2006)
    In this paper, we study the L2− boundedness and L2− compactness of a class of Fourier integral operators. These operators are bounded (respect ively compact) if the weight of the amplitude is bounded (respectively tends to0).
  • A class of generalized integral operators. 
    Messirdi, Bekkai; Bekkara, Samir; Senoussaoui, Abderrahmane (Electronic Journal of Differential Equations (EJDE)[electronic only], 2009)
    In this paper , we introduce a class of generalized integral operators that includes Fourier integral operators . We establish some conditions on these operators such that they do not have bounded extension on L2(Rn): ...
  • An Example of Unbounded Fourier Integral Operator on L2 with Symbol in 
    Messirdi, Bekkai; Aıboudi, Mohamed; Senoussaoui, Abderrahmane (2007)
    In this paper, we give an example of Fourier integral operator with a symbol belongs to 0<ρ<1 S0 ρ,1 that cannot be extended as a bounded operator on L2 (Rn) .
  • Méthode BKW formelle et spectre des molécules polyatomiques dans l'approximation de Born Oppenheimer 
    Messirdi, Bekkai; Senoussaoui, Abderrahmane (Canadian Journal of Physics, 2001-04-01)
    We studied the spectrum of P D −h21x − 1y C V .x; y/ on L2 􀀀 IR3n x IR3p y ; when h tends to zero; n 2; p 2 IN ; in the case where the potential V .x; y/ is singular and of Coulomb type and the first ...
  • On the L2-boundedness and L2-compactness of a class of Fourier integral operators 
    Messirdi, Bekkai; Senoussaoui, Abderrahmane (Electronic Journal of Differential Equations, 2006-01-01)
    In this paper, we study the L 2-boundedness and L2-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).
  • Parametrix du Problème de Cauchy C-infinity Hyperbolique Muni d'un Système d'Ordres de Leray-Volevîc 
    Messirdi, Bekkai; Senoussaoui, Abderrahmane (Zeitschrift für Analysis und ihre Anwendungen, 2005-09-30)
    Using algebrically conditions of localization and strict hyperbolicity, we construct a matrix of Fourier integral operators. The symbols of these operators and their traces allow to deduce the parametrix of C1 associated ...

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