Opérateurs pseudodifférentiels et représentations unitaires des groupes de Lie

 Access to full text

 Full (PDF)

1. [A-K] AUSLANDER (L.) and KOSTANT (B.). — Polarization and unitary representations of solvable Lie groups, Invent. Math., t. 14, 1971, p. 255-354. Zbl0233.22005MR45 #2092
2. [B-C-D] BERNAT (P.), CONZE (N.), DUFLO (M.) et al. — Représentations des groupes de Lie résolubles, Monographie Soc. Math. France, t. 4, 1972. Zbl0248.22012MR56 #3183
3. [Cha] CHARBONNEL (J.-Y.). — Orbites fermées et orbites tempérées, Ann. Sci. École Norm. Sup., t. 23, 1990, p. 123-149. Zbl0760.22010MR91b:22018
4. [Du1] DUFLO (M.). — Caractères des groupes et des algèbres de Lie résolubles, Ann. Sci. École Norm. Sup., t. 3, 1970, p. 23-74. Zbl0223.22016MR42 #4672
5. [Du2] DUFLO (M.). — Fundamental-series representations of a semi-simple Lie group, Funct. Anal. Appl., t. 4, 1970, p. 122-126. Zbl0254.22007MR45 #6975
6. [Fe1] FEIGIN (V.I.). — Asymptotic distribution of eigenvalues for hypoelliptic systems in Rn, Math. USSR Sbornik, t. 28, n° 4, 1976, p. 533-552. Zbl0381.35063MR58 #23165
7. [Fe2] FEIGIN (V.I.). — New classes of pseudodifferential operators in ℝn and some applications, Trans. Moscow Math. Soc., t. 36, 1978, p. 153-195. Zbl0421.35083MR82b:47062
8. [Gui] GUICHARDET (A.). — Article d'introduction aux travaux de M. Duflo, prépublication de l'École Polytechnique. 
9. [He] HELFFER (B.). — Théorie spectrale pour des opérateurs globalement elliptiques, Astérisque, Soc. Math. France, t. 112, 1984. Zbl0541.35002MR86d:35151
10. [Hr] HÖRMANDER (L.). — The Weyl calculus of pseudodifferential operators, Comm. Pure Appl. Math., t. 32, 1979, p. 359-443. Zbl0388.47032MR80j:47060
11. [Hw1] HOWE (R.). — A symbolic calculus for nilpotent Lie groups, Proc. Conference on operator algebras and group representations, Neptun, Romania Pitman, London, 1980. Zbl0522.22009
12. [Hw2] HOWE (R.). — The role of the Heisenberg group in harmonic analysis, Bull. Amer. Math. Soc., t. 3, n° 2, 1980, p. 821-843. Zbl0442.43002MR81h:22010
13. [Ju] JUHL (A.). — Orbit method for nilpotent Lie groups and distribution of eigenvalues, Math. Nachr., t. 116, 1984, p. 109-152. Zbl0572.58023MR86m:58143
14. [Kh] KHALGUI (M.S.). — Caractères des groupes de Lie, J. Funct. Anal., t. 47, 1982, p. 64-77. Zbl0507.22009MR84f:22020
15. [Kir] KIRILLOV (A.A.). — Unitary representations of nilpotent Lie groups, Russ. Math. Surveys, t. 17, n° 4, 1962, p. 53-104. Zbl0106.25001MR25 #5396
16. [Kn] KNAPP (A.W.). — Representation theory of semisimple Lie groups, an overview based on examples. — Princeton, 1986. Zbl0604.22001
17. [Lu] LUDWIG (J.). — Good ideals in the group algebra of a nilpotent Lie group, Math. Zeitschr., t. 161, 1978, p. 195-210. Zbl0365.22007MR58 #16958
18. [Ma1] MANCHON (D.). — Formule de Weyl pour les groupes de Lie nilpotents, J. reine angew. Math., t. 418, 1991, p. 77-129. Zbl0721.22004MR92j:22023
19. [Ma2] MANCHON (D.). — Calcul symbolique sur les groupes de Lie nilpotents et applications, J. Funct. Anal., t. 102, n° 2, 1991, p. 206-251. Zbl0745.22006MR93a:22007
20. [Ma3] MANCHON (D.). — Weyl symbolic calculus on any Lie group, Acta Appl. Math., t. 30, 1993, p. 159-186. Zbl0779.22005MR94d:22008
21. [Nil] NILSSON (N.). — Asymptotic estimates for spectral functions connected with hypoelliptic differential operators, Ark. Math., t. 5, n° 35, 1965, p. 527-540. Zbl0144.36302MR36 #2015
22. [Rf] RIEFFEL (M.A.). — Lie group convolution algebras as deformation quantizations of linear Poisson structures, Am. J. Math., t. 48, 1990, p. 657-686. Zbl0713.58054MR92b:58076
23. [Ro] ROSSMANN (W.). — Kirillov's character formula for reductive Lie groups, Invent. Math., t. 48, 1978, p. 207-220. Zbl0372.22011MR81g:22012
24. [Shu] SHUBIN (M.A.). — Pseudodifferential operators and spectral theory, Springer, New York, 1987. Zbl0616.47040MR88c:47105
25. [T-S] TULOVSKII (V.N.) and Shubin (M.A.). — On the asymptotic distribution of eigenvalues of pseudodifferential operators in Rn, Math. USSR Sbornik, t. 21, n° 4, 1973, p. 565-583. Zbl0295.35068

1. Dominique Manchon, Front d'onde et propagation des singularités pour un vecteur-distribution
2. Mitya Boyarchenko, Sergei Levendorski, Beyond the classical Weyl and Colin de Verdière’s formulas for Schrödinger operators with polynomial magnetic and electric fields