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Duflo, Michel; Rais, Mustapha

Sur l’analyse harmonique sur les groupes de Lie resolubles. (French) Zbl 0324.43011

Ann. Sci. Éc. Norm. Supér. (4) 9, 107-144 (1976).
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Cited in 3 Reviews
Cited in 32 Documents

MSC:

43A80 Analysis on other specific Lie groups
43A30 Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc.
22E45 Representations of Lie and linear algebraic groups over real fields: analytic methods
43A65 Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis)
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\textit{M. Duflo} and \textit{M. Rais}, Ann. Sci. Éc. Norm. Supér. (4) 9, 107--144 (1976; Zbl 0324.43011)
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References:

[1] L. AUSLANDER and B. KOSTANT , Polarization and Unitary Representations of Solvable Lie Groups (Inv. Math., vol. 14, 1971 , p. 255-354). MR 45 #2092 | Zbl 0233.22005 · Zbl 0233.22005
[2] M. ATIYAH , Resolution of Singularities and Division of Distributions (Comm. Pure and Appl. Math., vol. 23, 1970 , p. 145-150). MR 41 #815 | Zbl 0188.19405 · Zbl 0188.19405
[3] P. BERNAT , N. CONZE et coll. , Représentations des groupes de Lie résolubles , Monographies de la Société mathématique de France, Dunod, Paris, 1972 . Zbl 0248.22012 · Zbl 0248.22012
[4] I. N. BERNSTEIN , The Analytic Continuation of Generalized Functions with Respect to a Parameter (Funct. Anal. and appl., vol. 6, 1972 , p. 273-285). MR 47 #9269 | Zbl 0282.46038 · Zbl 0282.46038
[5] A. CEREZO et F. ROUVIÈRE , Résolubilité locale d’un opérateur différentiel invariant du premier ordre (Ann. scient. Éc. Norm. Sup., t. 4, 1971 , p. 21-30). Numdam | MR 45 #7751 | Zbl 0212.46801 · Zbl 0212.46801
[6] A. CEREZO et F. ROUVIÈRE , Équations différentielles invariantes sur un groupe de Lie semi-simple complexe (à paraître). · Zbl 0212.46801
[7] J. DIXMIER , Algèbres enveloppantes , Gauthier-Villars, Paris, 1974 . MR 58 #16803a | Zbl 0308.17007 · Zbl 0308.17007
[8] J. DIXMIER , M. DUFLO et M. VERGNE , Sur la représentation co-adjointe d’une algèbre de Lie (à paraître). Numdam | Zbl 0296.17009 · Zbl 0296.17009
[9] M. DUFLO , Construction of Primitive Ideals in an Enveloping Algebra , Publ. of the 1971 Summer School in Math., Edited by I. M. Gelfand, Bolyai-Janos Math. Soc., Budapest. Zbl 0313.17005 · Zbl 0313.17005
[10] M. DUFLO , Caractères des groupes et algèbres de Lie résolubles (Ann. scient. Éc. Norm. Sup., t. 3, 1970 , p. 23-74). Numdam | MR 42 #4672 | Zbl 0223.22016 · Zbl 0223.22016
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