Contribution à l'analyse semi classique des opérateurs intégraux de Fourier
Contribution à l'analyse semi classique des opérateurs intégraux de Fourier
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Date
2020-06-29
Auteurs
MESSIOUENE Rekia
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Résumé
In this thesis we are concerned with the study of semiclassical Fourier integral operators (h-FIO) and their boundedness. In the frst chapter we give some definitions and propretiesabout semiclassical pseudodifferential operators (h- PDO) which we will use itlater. In the second chapter we treat the boundedness ofh-Fourier integral operators onL2 and onLp. In the third chapter we prove the boundedness of a class ofh- FIO on theBesov spaces. In the last chapter we introduce a periodic Fourier integral operators and we study theirLp boundedness.
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Fourier integral operators; h-Fourier integral operators; Periodic Fourier integral operators; Symbols; Phase function; Lp boundedness; Besov spaces; Torus; Semiclassic alanalysis; Quantum mechanic .