Représentations intégrables du groupe de De Sitter

Jacques Dixmier

Bulletin de la Société Mathématique de France (1961)

  • Volume: 89, page 9-41
  • ISSN: 0037-9484

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Dixmier, Jacques. "Représentations intégrables du groupe de De Sitter." Bulletin de la Société Mathématique de France 89 (1961): 9-41. <http://eudml.org/doc/87012>.

@article{Dixmier1961,
author = {Dixmier, Jacques},
journal = {Bulletin de la Société Mathématique de France},
language = {fre},
pages = {9-41},
publisher = {Société mathématique de France},
title = {Représentations intégrables du groupe de De Sitter},
url = {http://eudml.org/doc/87012},
volume = {89},
year = {1961},
}

TY - JOUR
AU - Dixmier, Jacques
TI - Représentations intégrables du groupe de De Sitter
JO - Bulletin de la Société Mathématique de France
PY - 1961
PB - Société mathématique de France
VL - 89
SP - 9
EP - 41
LA - fre
UR - http://eudml.org/doc/87012
ER -

References

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  1. [1] BARGMANN (V.). — Irreducible unitary representations of the Lorentz group, Annals of Math., t. 48, 1947, p. 568-640. Zbl0045.38801MR9,133a
  2. [2] DIXMIER (J.). — Sur les représentations de certains groupes orthogonaux, C. R. Acad. Sc., Paris, t. 250, 1960, p. 3263-3265. Zbl0093.03501MR22 #5901
  3. [3] HARISH-CHANDRA. — Representations of a semi-simple Lie group on a Banach space, Trans. Amer. math. Soc., t. 75, 1953, p. 185-243. Zbl0051.34002MR15,100f
  4. [4] HARISH-CHANDRA. — Representations of semi-simple Lie groups, VI., Amer. J. Math., t. 78, 1956, p. 564-628. Zbl0072.01702
  5. [5] HARISH-CHANDRA. — Spherical functions on a semi-simple Lie group, I., Amer. J. Math., t. 80, 1958, p. 241-310. Zbl0093.12801MR20 #925
  6. [6] NELSON (E.). — Analytic vectors, Annals of Math., t. 70, 1959, p. 572-615. Zbl0091.10704MR21 #5901
  7. [7] NEUMARK (M. A.). — Linear representations of the Lorentz group, Uspekhi Mat. Nauk, N. S., t. 9, 1954, n° 4 (62), p. 19-93 ; Amer. math. Soc. Transl., Series 2, t. 6, 1957. 
  8. [8] NEWTON (T. D.). — A note on the representations of the De Sitter group, Annals of Math., t. 51, 1950, p. 730-733. Zbl0038.01702MR11,712h
  9. [9] THOMAS (L. H.). — On unitary representations of the group of De Sitter space, Annals of Math., t. 42, 1941, p. 113-126. Zbl0024.30001MR2,216cJFM67.0079.02
  10. [10] WHITTAKER (E. T.) and WATSON (G. N.). — A course of modern analysis, 4e éd. Cambridge, Cambridge University Press, 1935. JFM45.0433.02

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