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Pukanszky, L.

On the unitary representations of exponential groups. (English) Zbl 0172.18502

J. Funct. Anal. 2, 73-113 (1968).
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Cited in 24 Documents

Keywords:

functional analysis
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References:

[1] Auslander, L.; Moore, C., Unitary representations of solvable Lie groups, Mem. Am. Math. Soc., 62 (1966) · Zbl 0204.14202
[2] Bernat, P., Sur le dual d’un group exponentiel résoluble, Thèse (1965), Paris · Zbl 0126.06105
[3] Dixmier, J., L’application exponentielle dans les groupes de Lie résolubles, Bull. Soc. Math. France, 85, 113-121 (1957) · Zbl 0077.25203
[4] Fell, J. M.G, A new proof that nilpotent groups are CCR, (Proc. Am. Math. Soc., 13 (1962)), 93-99 · Zbl 0105.09602
[5] Fell, J. M.G, Weak containment and induced representations of groups, Canadian J. Math., 14, 237-268 (1962) · Zbl 0138.07301
[6] Fell, J. M.G, Weak containment and induced representations of groups, Trans. Am. Math. Soc., 110, 427-447 (1964) · Zbl 0195.42201
[7] Glimm, J., Locally compact transformation groups, Trans. Am. Math. Soc., 101, 124-138 (1961) · Zbl 0119.10802
[8] Gorin, E. A., Asymptotic properties of polynomials and algebraic functions of several variables, Usp. Mat. Nauk, 16, 93-119 (1961) · Zbl 0102.25401
[9] Hörmander, L., Linear partial differential operators, Grundlehren Math. Wiss., 116 (1963) · Zbl 0171.06802
[10] Kirillov, A. A., Unitary representations of nilpotent Lie groups, Usp. Math. Nauk, 17, 57-110 (1962) · Zbl 0090.09802
[11] Mackey, G. W., Imprimitivity for representations of locally compact groups, (Proc. Natl. Acad. Sci. U.S., 35 (1949)), 537-545 · Zbl 0035.06901
[12] Matsushima, Y., On algebraic Lie groups and algebras, J. Math. Soc. Japan, 1, 46-57 (1948) · Zbl 0038.02201
[13] Pukanszky, L., Leçons sur les représentations des groupes (1967), Dunod: Dunod Paris · Zbl 0152.01201
[14] Pukanszky, L., On the theory of exponential groups, Trans. Am. Math. Soc., 126, 487-507 (1967) · Zbl 0207.33605
[15] Pukanszky, L.; Pukanszky, L.
[16] Saito, M., Sur certains groupes de Lie résolubles, II, Sci. Papers, College Genl. Ed., Univ. Tokyo, 7, 157-168 (1957) · Zbl 0079.25701
[17] Takenouchi, O., Sur la facteur représentation des groupes de Lie de type (E), Math. J., Okayama Univ., 7, 151-161 (1957) · Zbl 0080.02302
[18] Weil, A., L’intégration dans les groupes topologiques et ses applications (1953), Hermann: Hermann Paris
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