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Localizable representations of the De Sitter group

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References

  1. N. Bourbaki,Éléments de mathématique, Vol. XXIX,Intégration, Hermann, Paris, 1963, 222 pp.

    Google Scholar 

  2. F. Bruhat,Sur les représentations induites de groupes de Lie, Bull. Soc. Math. France84 (1956), 97–205.

    MATH  MathSciNet  Google Scholar 

  3. J. Dixmier,Représentations intégrables du groupe de De sitter, Bull. Soc. Math. France89 (1961), 9–41.

    MATH  MathSciNet  Google Scholar 

  4. C. Fronsdal,Elementary particles in curved space, II, Phys. Rev. D10 (1974), 589–598.

    Article  MathSciNet  Google Scholar 

  5. R. Fabec,Free particle systems and their dynamics in de Sitter space, J. Mathematical Phys.18 (1977).

  6. K. C. Hannabus,The localizability of particles in de Sitter space, Proc. Cambridge Philos. Soc.70 (1971), 283–302.

    Article  MathSciNet  Google Scholar 

  7. E. Hewitt and K. A. Ross,Abstract Harmonic Analysis I, first edition, Berlin, Gottingen, Heidelberg, Springer Verlag, 1963, 519 pp.

    MATH  Google Scholar 

  8. A. W. Knapp and E. M. Stein,Intertwining operators for semisimple groups, Ann. of Math.93 (1971), 489–578.

    Article  MathSciNet  Google Scholar 

  9. G. W. Mackey,Unitary representations of group extensions, I, Acta Math.99 (1958), 265–311.

    Article  MATH  MathSciNet  Google Scholar 

  10. G. W. Mackey,Induced Representations of Groups and Quantum Mechanics, first edition, New York, W. A. Benjamin, Inc., 1968, 164 pp.

    MATH  Google Scholar 

  11. K. R. Parthasarathy,Multipliers on locally compact groups, Lecture Notes in Math.93, Springer Verlag, 1969, 54 pp.

  12. A. Ramsay,Virtual groups and group actions, Advances in Math.6 (1971), 253–322.

    Article  MATH  MathSciNet  Google Scholar 

  13. Takahashi,Sur les représentations unitaires des groupes de Lorentz généralizés, Bull. Soc. Math. France91 (1963), 289–433.

    MATH  MathSciNet  Google Scholar 

  14. E. Thieleker,On the quasi-simple irreducible representations of the Lorentz groups, Trans. Amer. Math. Soc.179 (1973), 465–505.

    Article  MATH  MathSciNet  Google Scholar 

  15. E. Thieleker,The unitary representations of the generalized Lorentz groups, Trans. Amer. Math. Soc.199 (1974), 327–367.

    Article  MathSciNet  Google Scholar 

  16. N. J. Vilenkin,Special Functions and the Theory of Group Representations, Providence, Rode Island, Amer. Math. Soc., 1968, 610 pp.

    MATH  Google Scholar 

  17. N. R. Wallach,Harmonic Analysis on Homogeneous Space, first edition, New York, Marcel Dekker, Inc., 1973, 361 pp.

    Google Scholar 

  18. G. Warner,Harmonic Analysis on Semisimple Lie Groups I, first edition, New York, Heidelberg, Berlin, Springer Verlag, 1973, 529 pp.

    Google Scholar 

  19. A. S. Wightman,On localizability of quantum mechanical systems, Rev. Mod. Phys.34 (1962), 845–872.

    Article  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Mathematics Department, Louisiana State University, 70803, Baton Rouge, Louisiana, USA

    Raymond C. Fabec

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  1. Raymond C. Fabec
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Additional information

Some of the results of this paper appeared in the author's thesis, University of Colorado, 1976.

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Fabec, R.C. Localizable representations of the De Sitter group. J. Anal. Math. 35, 151–208 (1979). https://doi.org/10.1007/BF02791065

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