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Reduction of weak limit problems by transformations

  • Harald Bergström
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 861)

Abstract

Weak limit problems for sequences of measures on normal, particularly metric, spaces are reduced by transformations to limit problems on simpler spaces than the original one’s. Subject classification: 60 F 17, 46 G 99.

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References

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    A.D. Alexandrov, Additive set-functions in abstract spaces: Math. Sb. 8 (1940) pp. 307–348MathSciNetGoogle Scholar
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    Mat. Sb. 9 (1941) pp. 563–628Google Scholar
  3. [1]c)
    Math. Sb. 13 (1943) pp. 169–238.Google Scholar
  4. [2]
    H. Bergström, On weak convergence in normal spaces, Istituto Nazionale di Alta Mathematics, Symposia Mathematics, Vol XXI (1977).Google Scholar
  5. [3]
    H. Bergström, Representations of infinitely divisible probability measures in l2 and some of its subspaces, 21. Analytic function methods in probability theory, Debrecen (Hungary), (1977).Google Scholar
  6. [4]
    P. Billingsley, Convergence of probability measures, John Wiley and Sons Inc., New York, London, Sydney, Toronto (1968).zbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1981

Authors and Affiliations

  • Harald Bergström
    • 1
  1. 1.Department of MathematicsChalmers University and the University of Göteborg GöteborgSweden

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