In this paper, we define a particular class of Fourier Integral Operators (FIO for short). These FIO turn out to be bounded on the spaces S (ℝ n) of rapidly decreasing functions (or …
S Bekkara, B Messirdi, A Senoussaoui - Electronic Journal of Differential …, 2009 - eudml.org
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 …
We introduce the relevant background information that will be used throughout the paper. Following that, we will go over some fundamental concepts from the theory of a particular …
A Senoussaoui - Journal of Mathematical Analysis and Applications, 2013 - Elsevier
On the unboundedness of a class of Fourier integral operators on L2(Rn) - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Search RegisterSign in View …
CA Aitemrar, A Senoussaoui - … del Circolo Matematico di Palermo Series 2, 2024 - Springer
In this paper we investigate the global L p boundedness of rough h-Fourier integral operators defined by generalized rough Hörmander class amplitudes on Banach and quasi …
CA Aitemrar, A Senoussaoui - Turkish Journal of Mathematics, 2018 - journals.tubitak.gov.tr
Onthe global $L^{p}$ boundedness of a general classof $h$-Fourier integral operators Page 1 Turkish Journal of Mathematics Volume 42 Number 4 Article 14 1-1-2018 Onthe global $L^{p} …
D Cardona, R Messiouene… - Complex Variables and …, 2024 - Taylor & Francis
Full article: Lp-bounds for Fourier integral operators on the torus Skip to Main Content Taylor and Francis Online homepage Taylor and Francis Online homepage Log in …
N Habel, A Senoussaoui - Asian-European Journal of Mathematics, 2021 - World Scientific
In this paper, we study the L 2-boundedness and L 2-compactness of a class of h-Fourier integral operators (h-FIOs) with operator symbol. Mainly, we prove that this class is L 2 …