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The functional limit theorem on nilpotent lie group

  • Yu. S. Khokhlov
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1546)

Keywords

Probability Measure Random Process Random Element Convolution Product Convolution Semigroup 
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References

  1. [1]
    P. Billingsley, Convergence of Probability Measures, New York, 1968.Google Scholar
  2. [2]
    W. Hazod, Stable probability measures on groups and vector spaces. A survey, in: Probability Measures on Groups. VIII, Lect. Notes Math., Springer, 1210 (1986), pp. 304–352.Google Scholar
  3. [3]
    W. Hazod and H. P. Scheffler, The domains of partial attraction of probabilities on groups and on vector spaces. (Submitted to J. Theor. Probab.)Google Scholar
  4. [4]
    T. Lindvall, Weak convergence of probability measures and random functions in function space D[0, ∞), J. Appl. Prob., 10 (1973), pp. 109–121.MathSciNetCrossRefzbMATHGoogle Scholar
  5. [5]
    S. Nobel, Limit theorems for probability measures on simply connected nilpotent Lie groups, J. Theor. Probab., 4 (1991), pp. 261–284.MathSciNetCrossRefzbMATHGoogle Scholar
  6. [6]
    A. V. Skorokhod, Stochastic processes with independent increments, Nauka, Moscow, 1964. (In Russian.)Google Scholar

Copyright information

© Springer-Verlag 1993

Authors and Affiliations

  • Yu. S. Khokhlov
    • 1
  1. 1.Depart. of Appl. Math.Tver' State Univ.Russia

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