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Spectral Theory and Representations of Nilpotent Groups
Author(s):
P.
Levy-Bruhl;
A.
Mohamed;
J.
Nourrigat
Journal:
Bull. Amer. Math. Soc.
26
(1992),
299-303.
MSC (1991):
Primary 35P20, 22E27
MathSciNet review:
1129314
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Additional information
References:
- [1]
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- [2]
- B. Helffer and J. Nourrigat, \emph{Hypoellipticit\'e maximale pour des op\'erateurs polyn\^omes de champs de vecteurs} vol.~58, Birkhauser, Boston, MA, 1985. MR 897103
- [3]
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- [4]
- A. Kirillov, Unitary representations of nilpotent groups, Russian Math. Survey \textbf{14} (1962), 53--104. MR
- [5]
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- P. L\'evy-Bruhl, A. Mohamed and J. Nourrigat, Etude spectale d'op\'erateurs sur des groupes nilpotents, S\'eminaire ``Equations aux D\'eriv\'ees Partielles'', \'Ecole Polytechnique (Palaiseau), Expos\'e 18, 1989--90. MR
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- [8]
- Y. Meyer, Ondelettes et op\'erateurs, Hermann, Paris, 1990. MR 1085487
- [9]
- A. Mohamed and J. Nourrigat, Encadrement du $N(\lambda )$ pour des op\'erateurs de Schr\"odinger avec champ magn\'etique, J. Math. Pures Appl. (9) \textbf{70} (1991), 87--99. MR 1091921
- [10]
- J. Nourrigat, In\'egalit\'es $L^2$ et repr\'esentations de groupes nilpotents, J. Funct. Anal. \textbf{74} (1987), 300--327. MR 904821
- [11]
- A. Perelomov, \emph{Generalized coherent states and their applications}, Springer, 1981. MR 858831
- [12]
- L. Pukanszki, Le\c cons sur les repr\'esentations des groupes, Dunod, Paris, 1967. MR 217220
- [13]
- B. Simon, Non classical eigenvalue asymptotics, J. Funct. Anal. \textbf{53} (1983), 84--98. MR
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Additional Information:
DOI:
10.1090/S0273-0979-1992-00281-1
PII:
S 0273-0979(1992)00281-1
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