On a class of h-Fourier integral operators

C Harrat, A Senoussaoui - Demonstratio Mathematica, 2014 - degruyter.com
Chahrazed Harrat, Abderrahmane Senoussaoui ON A CLASS OF h-FOURIER INTEGRAL
OPERATORS 1. Introduction For ϕ PS pR q (the Schwa Page 1 DEMONSTRATIO …

Hs-Boundedness of a class of Fourier Integral Operators

OF Aid, A Senoussaoui - Mathematica Slovaca, 2021 - degruyter.com
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 …

-Admissible Fourier integral operators

CA Aitemrar, A Senoussaoui - Turkish Journal of Mathematics, 2016 - journals.tubitak.gov.tr
$h$-Admissible Fourier integral operators Page 1 Turkish Journal of Mathematics Volume
40 Number 3 Article 6 1-1-2016 $h$-Admissible Fourier integral operators CHAFIKA AMEL …

[PDF][PDF] A class of generalized integral operators.

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 …

[PDF][PDF] The boundedness of a class of semiclassical Fourier integral operators on Sobolev space :

OF Aid, A Senoussaoui - Matematychni Studii, 2021 - matstud.org.ua
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 …

[HTML][HTML] On the unboundedness of a class of Fourier integral operators on L2 (Rn)

A Senoussaoui - Journal of Mathematical Analysis and Applications, 2013 - Elsevier
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On the global boundedness of multilinear h-Fourier integral operators with rough amplitudes

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 …

[PDF][PDF] Onthe global boundedness of a general classof -Fourier integral operators

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} …

Lp-bounds for Fourier integral operators on the torus

D Cardona, R Messiouene… - Complex Variables and …, 2024 - Taylor & Francis
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-boundedness and -compactness of a class of semiclassical Fourier integral operators with operator symbol

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 …