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The functional limit theorem on nilpotent lie group

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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. P. Billingsley, Convergence of Probability Measures, New York, 1968.

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  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.

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  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.)

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  4. T. Lindvall, Weak convergence of probability measures and random functions in function space D[0, ∞), J. Appl. Prob., 10 (1973), pp. 109–121.

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  5. S. Nobel, Limit theorems for probability measures on simply connected nilpotent Lie groups, J. Theor. Probab., 4 (1991), pp. 261–284.

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  6. A. V. Skorokhod, Stochastic processes with independent increments, Nauka, Moscow, 1964. (In Russian.)

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© 1993 Springer-Verlag

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Khokhlov, Y.S. (1993). The functional limit theorem on nilpotent lie group. In: Kalashnikov, V.V., Zolatarev, V.M. (eds) Stability Problems for Stochastic Models. Lecture Notes in Mathematics, vol 1546. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084491

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  • DOI: https://doi.org/10.1007/BFb0084491

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-56744-8

  • Online ISBN: 978-3-540-47645-0

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