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V-decomposable measures on hilbert spaces

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Probability Theory on Vector Spaces II

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 828))

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References

  1. G. Choquet, Le théoreme de représentation intégrale dans les ensembles convexes compact, Ann.Inst.Fourier 10 (1960), 333–344.

    Article  MathSciNet  MATH  Google Scholar 

  2. R. Jajte, On stable distributions in Hilbert spaces, Studia Math. 30 (1968), 63–71.

    MathSciNet  MATH  Google Scholar 

  3. R. Jajte, Semi-stable probability measures on RN, Studia Math. 61 (1977), 29–39.

    MathSciNet  MATH  Google Scholar 

  4. R. Jajte, Semi-stable measures, Banach Center Publications, vol.5, 141–150.

    Google Scholar 

  5. S. Johansen, An application of extreme-point methods to the representation of infinitely divisible distributions, Z.Wahrsch. und verw. Gebiete 5 (1966), 304–316.

    Article  MathSciNet  MATH  Google Scholar 

  6. D.G. Kendall, Extreme-point methods in stochastic analysis, Z. Wahrsch. und verw. Gebiete 1 (1963), 295–300.

    Article  MathSciNet  MATH  Google Scholar 

  7. M. Krein and D. Milman, On extreme points of regularly convex sets, Studia Math. 9 (1940), 133–138.

    MathSciNet  MATH  Google Scholar 

  8. V.M. Kruglov, On an extension of the class of stable distributions, Teor. Ver.Appl. 17 (1972), 723–732 (in Russian).

    MathSciNet  Google Scholar 

  9. V.M. Kruglov, On a class of limit laws in a Hilbert space, Lit. Mat. Sbornik 12 (1972), 85–88 (in Russian).

    MathSciNet  Google Scholar 

  10. J. Kucharczak, Remarks on operator-stable measures, Coll.Math. 34 (1976), 109–119.

    MathSciNet  MATH  Google Scholar 

  11. W. Krakowiak, Operator-stable probability measures on Banach spaces, to appear.

    Google Scholar 

  12. W. Krakowiak, Operator semi-stable probability measures on Banach spaces, to appear.

    Google Scholar 

  13. A. Kumar and V. Mandrekar, Stable probability measures on Banach spaces, Studia Math. 42 (1972), 133–144.

    MathSciNet  MATH  Google Scholar 

  14. A. Kumar and M.B. Schreiber, Self, decomposable probability measures on Banach spaces, Studia Math. 53 (1975), 55–71.

    MathSciNet  MATH  Google Scholar 

  15. P. Lévy, Théorie de l’addition des variables aléatoires, Paris 1937.

    Google Scholar 

  16. M. Loéve, Probability theory, New York, 1950

    Google Scholar 

  17. K.R. Parthasarathy, Probability Measures in Metric Spaces, New York 1967.

    Google Scholar 

  18. R.R. Phelps, Lectures on Choquet’s theorem, Princenton, 1966.

    Google Scholar 

  19. B.S. Rajput, A representation of the Cnaracteristic Function of a Stable Probability Measure on Certain TV Spaces, J. Multivariate Analysis 6 (1976), 592–600.

    Article  MathSciNet  MATH  Google Scholar 

  20. I. Ciszar, B. Rajput, A. Convergence of types theorem for probability measures on topological vector spaces with applications to stable laws, Z.Wahrschein, verw. Gebiete 36 (1976), 1–7.

    Article  MathSciNet  Google Scholar 

  21. M. Sharpe, Operator-stable probability distributions on vector groups, Trans Amer.Math.Soc. 136 (1969), 51–65.

    Article  MathSciNet  MATH  Google Scholar 

  22. K. Urbanik, A. representation of self-decomposable distributions Bull.Acad. Pol.Sci.Serie des.math.astronom, et phys. 16 (1968), 196–204.

    MathSciNet  MATH  Google Scholar 

  23. K. Urbanik, Self-decomposable probability measures on Rm, Applicationes Math. 10 (1969) 91–97.

    MathSciNet  MATH  Google Scholar 

  24. K. Urbanik, Lévy’s probability measures on Euclidean spaces, Studia Math. 44 (1972), 119–148.

    MathSciNet  MATH  Google Scholar 

  25. K. Urbanik, Extreme-point method in probability theory, Probability Winter School — Karpacz 1975, Lecture Notes on Mathematics 472, 169–194.

    Google Scholar 

  26. K. Urbanik, Lévy’s probability measures on Banach spaces, Studia Math. 63 (1978), 283–308.

    MathSciNet  MATH  Google Scholar 

  27. S.R.S. Varadhan, Limit theorems for sums of independent random variables with values in a Hilbert space, Sankhya, the Indian Journal of Statistics 24 (1962), 213–238.

    MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Institute of Mathematics, Łódź University, Banacha 22, 90-238, Łódź, Poland

    R. Jajte

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  1. R. Jajte
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A. Weron

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© 1980 Springer-Verlag

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Jajte, R. (1980). V-decomposable measures on hilbert spaces. In: Weron, A. (eds) Probability Theory on Vector Spaces II. Lecture Notes in Mathematics, vol 828. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0097398

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  • DOI: https://doi.org/10.1007/BFb0097398

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10253-3

  • Online ISBN: 978-3-540-38350-5

  • eBook Packages: Springer Book Archive

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