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Mathematische Annalen

, Volume 192, Issue 2, pp 107–118 | Cite as

Limits of uniformly infinitesimal families of projective representations of locally compact groups

  • Klaus Schmidt
Article

Keywords

Compact Group Projective Representation 
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References

  1. 1.
    Araki, H.: Factorisable representations of current algebra. Publ. RIMS, Kyoto Univ. Vol. 5, 361–422 (1970).Google Scholar
  2. 2.
    Cushen, C. D., Hudson, R. L.: A central limit theorem for sums of canonical observables in quantum mechanics. Manuscript (1969).Google Scholar
  3. 3.
    Gangolli, R.: Positive definite kernels on homogeneous spaces. Ann. Inst. H. Poincaré B,III, 121–225 (1967).Google Scholar
  4. 4.
    Parthasarathy, K. R.: Probability measures on metric spaces. New York and London: Academic Press 1967.Google Scholar
  5. 5.
    —— Multipliers on locally compact groups. Lecture Notes in Mathematics. Berlin, Heidelberg and New York: Springer 1969.Google Scholar
  6. 6.
    —— Infinitely divisible representations and positive definite functions on a compact group. Commun. math. Phys. Vol.16, 148–156 (1970).Google Scholar
  7. 7.
    -- Schmidt, K.: Infinitely divisible projective representations, cocycles and Levy-Khinchine-Araki formula on locally compact groups. Research Report 17, Manchester-Sheffield School of Probability and Statistics (1970).Google Scholar
  8. 8.
    -- -- Factorisable representations of current groups and the Araki-Woods imbedding theorem. Acta math. (to appear).Google Scholar
  9. 9.
    Schmidt, K.: On a characterisation of certain infinitely divisible positive definite functions and measures. J. London Math. Soc. (to appear).Google Scholar
  10. 10.
    Streater, R. F.: Current commutation relations, continuous tensor products, and infinitely divisible group representations. Rendiconti di Sc. Int. di Fisica “E. Fermi”,XI, 247–263 (1969).Google Scholar

Copyright information

© Springer-Verlag 1971

Authors and Affiliations

  • Klaus Schmidt
    • 1
  1. 1.Department of Mathematics Bedford CollegeUniversity of LondonLondonEngland

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