Analyse de l'espace des phases et calcul pseudo-differential sur le groupe de Heisenberg |
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| Authors: | Hajer Bahouri Clotilde Fermanian-Kammerer Isabelle Gallagher |
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| Affiliation: | 1. Département de Mathématiques, Faculté des Sciences de Tunis, 2092 Manar, Tunisie;2. Université Paris Est, UMR 8050 du CNRS, 61 avenue du Général de Gaulle, 94010 Creteil, France;3. Institut de Mathématiques, UMR 7586, Université Paris 7, 175 rue du Chevaleret, 75013 Paris, France |
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| Abstract: | We establish pseudo-differential calculus on the Heisenberg group by defining an algebra of operators acting continuously on Sobolev spaces and containing the class of differential operators. Our approach puts into light microlocal directions and completes, with the Littlewood–Paley theory developed by Bahouri et al., a microlocal analysis of the Heisenberg group. To cite this article: H. Bahouri et al., C. R. Acad. Sci. Paris, Ser. I 347 (2009). |
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