DAIKACHE, OumelkheirMOUSSAI, Madani: Sypervisor2024-07-032024-07-032024-06-11https://dspace.univ-msila.dz/handle/123456789/43081The aim of this work is to study the uses of the Fourier transform in different spaces such as Sobolav spaces and Hardy spaces. Each of these tools and spaces provides complementary. concepts and techniques for understanding and analyzing functions and mathematical transformations in multiple contexts. This interrelation contributes to forming a comprehensive framework for mathematical analysis.enTempered DistributionsFourier transformFunctional spacesThesis