@article{ASENS_1972_4_5_3_459_0, author = {Kleppner, Adam and Lipsman, Ronald}, title = {The plancherel formula for group extensions}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {459--516}, publisher = {Elsevier}, volume = {Ser. 4, 5}, number = {3}, year = {1972}, doi = {10.24033/asens.1235}, mrnumber = {49 #7387}, zbl = {0239.43003}, language = {en}, url = {http://archive.numdam.org/articles/10.24033/asens.1235/} }
TY - JOUR AU - Kleppner, Adam AU - Lipsman, Ronald TI - The plancherel formula for group extensions JO - Annales scientifiques de l'École Normale Supérieure PY - 1972 SP - 459 EP - 516 VL - 5 IS - 3 PB - Elsevier UR - http://archive.numdam.org/articles/10.24033/asens.1235/ DO - 10.24033/asens.1235 LA - en ID - ASENS_1972_4_5_3_459_0 ER -
%0 Journal Article %A Kleppner, Adam %A Lipsman, Ronald %T The plancherel formula for group extensions %J Annales scientifiques de l'École Normale Supérieure %D 1972 %P 459-516 %V 5 %N 3 %I Elsevier %U http://archive.numdam.org/articles/10.24033/asens.1235/ %R 10.24033/asens.1235 %G en %F ASENS_1972_4_5_3_459_0
Kleppner, Adam; Lipsman, Ronald. The plancherel formula for group extensions. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 5 (1972) no. 3, pp. 459-516. doi : 10.24033/asens.1235. http://archive.numdam.org/articles/10.24033/asens.1235/
[1] Unitary representations of solvable Lie groups (Memoirs Amer. Math. Soc., No. 62, 1966). | MR | Zbl
and ,[2] A weak containment theorem for groups with a quotient R-group (Trans. Amer. Math. Soc., vol. 128, 1967, p. 277-290). | MR | Zbl
,[3] Intégration, chap. V, Hermann, Paris, 1956.
,[4] Intégration, chap. VI, Hermann, Paris, 1963.
,[5] Sur les représentations induites des groupes de Lie (Bull. Soc. Math. Fr., vol. 84, 1956, p. 97-205). | Numdam | MR | Zbl
,[6] On the Borel structure of C*-algebras (Comm. Math. Phys., vol. 8, 1968 p. 147-163). | MR | Zbl
,[7] Algèbres quasi-unitaires (Comm. Math. Helv., vol. 26, 1952, p. 275-322). | MR | Zbl
,[8] Les algèbres d'opérateurs dans l'espace hilbertien, Gauthier-Villars, Paris, 1957. | Zbl
,[9] Sur les représentations des groupes de Lie nilpotents, III (Can. J. Math., vol. 10, 1958, p. 321-348). | MR | Zbl
,[10] Les C*-algèbres et leurs représentations, Gauthier-Villars, Paris, 1964. | MR | Zbl
,[11] Sur la représentation régulière d'un groupe localement compact connexe (Ann. scient. Éc. Norm. Sup., vol. 2, 1969, p. 423-436). | Numdam | MR | Zbl
,[12] The Borel space of von Neumann algebras on a separable Hilbert space (Pac. J. Math., vol. 15, 1965, p. 1153-1164). | MR | Zbl
,[13] The canonical measures for a separable C*-algebra (Amer. J. Math., vol. 92, 1970, p. 56-60). | MR | Zbl
,[14] Weak containment and induced representations of groups (Can. J. Math., vol. 14, 1962, p. 237-268). | MR | Zbl
,[15] Locally compact transformation groups (Trans. Amer. Math. Soc., vol. 101, 1961, p. 124-138). | MR | Zbl
,[16] Harmonic Analysis on central topological groups (Trans. Amer. Math. Soc., vol. 156, 1971, p. 419-454). | MR | Zbl
and ,[17] Caractères des algèbres de Banach involutives (Ann. Inst. Fourier, vol. 13, 1963, p. 1-81). | Numdam | MR | Zbl
,[18] Certain topological groups are type I (Bull. Amer. Math. Soc., vol. 76, 1970, p. 404-406). | MR | Zbl
,[19] Topologie, I, Warsaw, 1938.
,[20] Uniformly bounded representations of the Lorentz groups (Amer. J. Math., vol. 91, 1969, p. 938-962). | MR | Zbl
,[21] Representation theory of almost connected groups (Pac. J. Math., vol. 42, 1972) (to appear). | MR | Zbl
,[22] Induced representations of locally compact groups, I (Ann. of Math., vol. 55, 1952, p. 101-139). | MR | Zbl
,[23] Borel structures in groups and their duals (Trans. Amer. Math. Soc., vol. 85, 1957, p. 134-165). | MR | Zbl
,[24] Unitary representations of group extensions, I (Acta Math., vol. 99, 1958, p. 265-311). | MR | Zbl
,[25] Group representations and non-commutative harmonic analysis, University of California, Berkeley, 1965.
,[26] Groups with finite-dimensional irreducible representations (Trans. Amer. Math. Soc., vol. 166, 1972, p. 401-410). | MR | Zbl
,[27] A Plancherel formula for non-unimodular groups, Address presented to the International Conference on Harmonic Analysis, University of Maryland, November 1971.
,[28] On the theory of quasi-unitary algebras (Acta Sci. Math., vol. 16, 1955, p. 103-121). | MR | Zbl
,[29] Unitary representations of solvable Lie groups (Ann. scient. Éc. Norm. Sup., vol. 4, 1971, p. 457-608). | Numdam | MR | Zbl
,[30] On the reduction of the regular representation of the Poincaré group (Comm. Math. Phys., vol. 3, 1966, p. 218-227). | MR | Zbl
,[31] Plancherel formula for non-unimodular locally compact groups (J. of Math. of Kyoto Univ., vol. 12, 1972, p. 179-261). | MR | Zbl
,[32] Groups of automorphism of Borel spaces (Trans. Amer. Math. Soc., vol. 109, 1963, p. 191-220). | MR | Zbl
,Cité par Sources :