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Sur la resolubilite locale des opérateurs bi-invariants. (French) Zbl 0323.22010

MSC:
22E30 Analysis on real and complex Lie groups
58J99 Partial differential equations on manifolds; differential operators
17B35 Universal enveloping (super)algebras
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References:
[1] A. Cerezo - F. Rouviere , Résolubilité locale d’un opérateur diflérentiel invariant du premier ordre , Ann. Sci. E.N.S. , 4 ( 1971 ), pp. 21 - 30 . Numdam | MR 298702 | Zbl 0212.46801 · Zbl 0212.46801
[2] M. Duflo - M. Rais , Sur l’analyse harmonique sur les groupes de Lie résolubles , à paraître. Numdam | Zbl 0324.43011 · Zbl 0324.43011
[3] S. Helgason , The surjectivity of invariant differential operators on symmetric spaces I , Ann. of Maths. , 98 ( 1973 ), pp. 451 - 479 . MR 367562 | Zbl 0274.43013 · Zbl 0274.43013
[4] G. Hochschild , The structure of Lie groups , Holden-Day , 1965 . MR 207883 | Zbl 0131.02702 · Zbl 0131.02702
[5] L. Hörmander , On the theory of general partial differential operators , Acta Math. , 94 ( 1955 ), pp. 161 - 248 . MR 76151 | Zbl 0067.32201 · Zbl 0067.32201
[6] L. Hormander , On the existence and regularity of solutions of linear pseudodifferential equations , L’Ens. Math. , 17 ( 1971 ), pp. 99 - 163 . MR 331124 | Zbl 0224.35084 · Zbl 0224.35084
[7] M. Raïs , Solutions élémentaires des opérateurs différentiels bi-invariants sur un groupe de Lie nilpotent , C. R. Acad. Sci. Paris , 273 ( 1971 ), pp. 495 - 498 . MR 289720 | Zbl 0236.46047 · Zbl 0236.46047
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