The plancherel formula for group extensions II

Adam Kleppner; Ronald Lipsman

Annales scientifiques de l'École Normale Supérieure (1973)

  • Volume: 6, Issue: 1, page 103-132
  • ISSN: 0012-9593

How to cite

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Kleppner, Adam, and Lipsman, Ronald. "The plancherel formula for group extensions II." Annales scientifiques de l'École Normale Supérieure 6.1 (1973): 103-132. <http://eudml.org/doc/81909>.

@article{Kleppner1973,
author = {Kleppner, Adam, Lipsman, Ronald},
journal = {Annales scientifiques de l'École Normale Supérieure},
language = {eng},
number = {1},
pages = {103-132},
publisher = {Elsevier},
title = {The plancherel formula for group extensions II},
url = {http://eudml.org/doc/81909},
volume = {6},
year = {1973},
}

TY - JOUR
AU - Kleppner, Adam
AU - Lipsman, Ronald
TI - The plancherel formula for group extensions II
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1973
PB - Elsevier
VL - 6
IS - 1
SP - 103
EP - 132
LA - eng
UR - http://eudml.org/doc/81909
ER -

References

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  1. [1] L. AUSLANDER and C. MOORE, Unitary representations of solvable Lie groups (Memoirs Amer. Math. Soc., No. 62, 1966). Zbl0204.14202MR34 #7723
  2. [2] J. DIXMIER, Algèbres quasi-unitaires (Comm. Math. Helv., vol. 26, 1952, p. 275-322). Zbl0047.35601MR14,660b
  3. [3] J. DIXMIER, Les algèbres d'opérateurs dans l'espace hilbertien, Gauthier-Villars, Paris, 1957. Zbl0088.32304
  4. [4] J. DIXMIER, Les C*-algèbres et leurs représentations, Gauthier-Villars, Paris, 1964. Zbl0152.32902MR30 #1404
  5. [5] M. DUFLO, Sur les extensions des représentations irréductibles des groupes de Lie nilpotents (Ann. scient. Éc. Norm. Sup., t. 5, 1972, p. 71-120). Zbl0241.22030MR46 #1966
  6. [6] S. HELGASON, Differential Geometry and Symmetric Spaces, Academic Press, New York, 1962. Zbl0111.18101MR26 #2986
  7. [7] A. KLEPPNER and R. LIPSMAN, The Plancherel formula for group extensions (Ann. scient. Éc. Norm. Sup., t. 5, 1972, p. 459-516). Zbl0239.43003MR49 #7387
  8. [8] G. MACKEY, Induced representations of locally compact groups I (Ann. of Math., vol. 55, 1952, p. 101-139). Zbl0046.11601MR13,434a
  9. [9] G. MACKEY, Unitary representations of group extensions I (Acta Math., vol. 99, 1958, p. 265-311). Zbl0082.11301MR20 #4789
  10. [10] G. MACKEY, Induced representations and normal subgroups (Proc. International Symposium Linear Spaces, Pergamon, Oxford, 1960, p. 319-326). Zbl0118.11401MR25 #3118
  11. [11] M. RIEFFEL, Square-integrable representations of Hilbert algebras (J. Functional Anal., vol. 3, 1969, p. 265-300). Zbl0174.44902MR39 #6094
  12. [12] D. SHALE, Linear symmetries of free Boson fields (Trans. Amer. Math. Soc., vol. 103, 1962, p. 149-167). Zbl0171.46901MR25 #956
  13. [13] R. STREATER, The representations of the oscillator group (Comm. Math. Phys., vol. 4, 1967, p. 217-236). Zbl0155.32503MR34 #7721

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