Departement de Mathématique

URI permanent de cette communauté

https://dspace.univ-oran1.dz/handle/123456789/40

Parcourir par

Parcourir la collection Departement de Mathématique par Auteur "AID Omar Farouk"

Voici les éléments 1 - 1 sur 1
  • Item
    Action Des Operateurs H-Intégraux De Fourier Sur Les Espaces De Sobolev, Lien Avec Les Operateurs De Hilbert Schmidt Et Application Aux Etats Cohérents.
    (Université Oran1 Ahmed Ben Bella, 2021-10-31) AID Omar Farouk
    In this thesis we have two goals (divided on four chapters), First, we'll check for Hs regularity of global Fourier integral operators. This boundedness depends namely on the choice of the amplitude and the phase function. In the semi classical regime we control the singular limit h-0 stands for the semiclassical parameter, and we prove the boundedness in the Bessel potential . spaces. Our second goal is to create some criteria for h-admissible Fourier integral operators and that allow to obtain results about Hilber-Schmidtness, we gave application in the coherent stats.