Keywords
- Banach Space
- Probability Measure
- Extreme Point
- Real Hilbert Space
- Separable Real Hilbert Space
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References
G. Choquet, Le théoreme de représentation intégrale dans les ensembles convexes compact, Ann.Inst.Fourier 10 (1960), 333–344.
R. Jajte, On stable distributions in Hilbert spaces, Studia Math. 30 (1968), 63–71.
R. Jajte, Semi-stable probability measures on RN, Studia Math. 61 (1977), 29–39.
R. Jajte, Semi-stable measures, Banach Center Publications, vol.5, 141–150.
S. Johansen, An application of extreme-point methods to the representation of infinitely divisible distributions, Z.Wahrsch. und verw. Gebiete 5 (1966), 304–316.
D.G. Kendall, Extreme-point methods in stochastic analysis, Z. Wahrsch. und verw. Gebiete 1 (1963), 295–300.
M. Krein and D. Milman, On extreme points of regularly convex sets, Studia Math. 9 (1940), 133–138.
V.M. Kruglov, On an extension of the class of stable distributions, Teor. Ver.Appl. 17 (1972), 723–732 (in Russian).
V.M. Kruglov, On a class of limit laws in a Hilbert space, Lit. Mat. Sbornik 12 (1972), 85–88 (in Russian).
J. Kucharczak, Remarks on operator-stable measures, Coll.Math. 34 (1976), 109–119.
W. Krakowiak, Operator-stable probability measures on Banach spaces, to appear.
W. Krakowiak, Operator semi-stable probability measures on Banach spaces, to appear.
A. Kumar and V. Mandrekar, Stable probability measures on Banach spaces, Studia Math. 42 (1972), 133–144.
A. Kumar and M.B. Schreiber, Self, decomposable probability measures on Banach spaces, Studia Math. 53 (1975), 55–71.
P. Lévy, Théorie de l’addition des variables aléatoires, Paris 1937.
M. Loéve, Probability theory, New York, 1950
K.R. Parthasarathy, Probability Measures in Metric Spaces, New York 1967.
R.R. Phelps, Lectures on Choquet’s theorem, Princenton, 1966.
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.
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.
M. Sharpe, Operator-stable probability distributions on vector groups, Trans Amer.Math.Soc. 136 (1969), 51–65.
K. Urbanik, A. representation of self-decomposable distributions Bull.Acad. Pol.Sci.Serie des.math.astronom, et phys. 16 (1968), 196–204.
K. Urbanik, Self-decomposable probability measures on Rm, Applicationes Math. 10 (1969) 91–97.
K. Urbanik, Lévy’s probability measures on Euclidean spaces, Studia Math. 44 (1972), 119–148.
K. Urbanik, Extreme-point method in probability theory, Probability Winter School — Karpacz 1975, Lecture Notes on Mathematics 472, 169–194.
K. Urbanik, Lévy’s probability measures on Banach spaces, Studia Math. 63 (1978), 283–308.
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.
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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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