Analyse de Fourier sur le groupe S U ( 2 , 1 )

Pierre Hillion

Annales de l'I.H.P. Physique théorique (1968)

  • Volume: 8, Issue: 1, page 53-79
  • ISSN: 0246-0211

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Hillion, Pierre. "Analyse de Fourier sur le groupe $SU(2, 1)$." Annales de l'I.H.P. Physique théorique 8.1 (1968): 53-79. <http://eudml.org/doc/75580>.

@article{Hillion1968,
author = {Hillion, Pierre},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {functional analysis},
language = {fre},
number = {1},
pages = {53-79},
publisher = {Gauthier-Villars},
title = {Analyse de Fourier sur le groupe $SU(2, 1)$},
url = {http://eudml.org/doc/75580},
volume = {8},
year = {1968},
}

TY - JOUR
AU - Hillion, Pierre
TI - Analyse de Fourier sur le groupe $SU(2, 1)$
JO - Annales de l'I.H.P. Physique théorique
PY - 1968
PB - Gauthier-Villars
VL - 8
IS - 1
SP - 53
EP - 79
LA - fre
KW - functional analysis
UR - http://eudml.org/doc/75580
ER -

References

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  1. [1] E.M. Stein, A survey of representations of non-compact groups, in High energy physics and elementary particles, I. A. E. A., 1965. MR206159
  2. [2] M.A. Naimark, Les représentations linéaires du groupe de Lorentz, Dunod, 1962. Zbl0100.12002MR138669
  3. [3] V. Bargmann, Ann. of Math., 48, 1947, 568. Zbl0045.38801MR21942
  4. I.M. Gel'fand, M.I. Graëv et N. Ya. Vilenkin, Generalized functions, vol. 5, Acad. Press, 1966. 
  5. P. Hillion, Plancherel's formulae for SU(1,1), non publié. 
  6. [4] M. Gel'fand et M.A. Naimark, Unitäre Darstellungen der Klassichen gruppen, Akad. Verl., Berlin, 1957. Zbl0077.03405MR85262
  7. [5] M.I. Graëv, Dok. Akad. Nauk. S. S. S. R., 98, 1954, 517. Zbl0059.02304MR66389
  8. M.I. Graëv, Trud. Mosk. Math., 7, 1958, 335. Zbl0087.02402
  9. [6] M.I. Graëv, Dok. Akad. Nauk. S. S. S. R., 113, 1957, 966. Zbl0091.10802MR104743
  10. [7] C. Fronsdal, Proc. Phys. Soc., A 288, 1965, 98. MR189616
  11. L.C. Biedenharn, J. Nuyts et N. Straumann, C. E. R. N., Prepint TH. 585, 1965. 
  12. [8] S. Helgason, Differential geometry and symmetric spaces, Acad. Press, 1962. Zbl0111.18101MR145455
  13. [9] Harish- Chandra, Ann. Jour. of Math., 79, 1957, 87-193. Zbl0072.01901
  14. [10] F. Riesz et B. Sz. Nagy, Leçons d'analyse fonctionnelle. Gauthier-Villars, 1955. Zbl0064.35404MR68139
  15. [11] I.M. Gel'fand et M.I. Graëv, Am. Math. Soc. Transl., 37, 1964, 351. Zbl0136.43404
  16. [12] M. Flato, Thèse Paris, 1965. 
  17. M. Flato et D. Sternheimer, J. of Math. Phys., 7, 1966, 1932. Zbl0168.23701
  18. [13] P. Hillion, Phys. Rev., 147, 1966, 1038. Zbl0171.23904MR230518
  19. [14] C. Fronsdal et G. Bisiacchi, Nuov. Cim., 42, 1966, 220. 

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