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Kanter, Marek

Linear sample spaces and stable processes. (English) Zbl 0232.60023

J. Funct. Anal. 9, 441-459 (1972).
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Cited in 1 Review
Cited in 23 Documents

MSC:

60G07 General theory of stochastic processes
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References:

[1] Banach, S., Théorie des Opérations Linéaires (1932), Warsaw · JFM 58.0420.01
[2] Bretagnolle, J.; Castelle, D. D.; Krivine, J. L., Lois stables et espaces \(L^p\), Ann. Inst. Henri Poincaré, Ser. B, 2, 231-259 (1966) · Zbl 0139.33501
[3] Cameron, R. H.; Graves, R. E., Additive functionals on a space of continuous functions I, Trans. Amer. Math. Soc., 70, 160-176 (1951) · Zbl 0042.11702
[4] Doob, J. L., Stochastic Process (1953), John Wiley and Sons: John Wiley and Sons New York · Zbl 0053.26802
[5] Feller, W., (An Introduction to Probability Theory and its Applications, Vol. II (1966), John Wiley and Sons: John Wiley and Sons New York) · Zbl 0138.10207
[6] Fix, E., Distributions which lead to linear regression, (Proceedings of the Berkeley Symposium on Mathematical Statistics and Probability (1949), University of California Press: University of California Press Berkeley, Calif), 79-91 · Zbl 0041.26001
[7] Graves, R. E., Additive functionals on a space of continuous functions II, Ann. of Math., 54, 275-285 (1951) · Zbl 0044.12102
[8] Kestelman, H., On the functional equation \(ƒ(x + y) = ƒ(x) + ƒ(y)\), Fund. Math., 34, 144-147 (1947) · Zbl 0032.02804
[9] Loeve, M., Probability Theory (1963), Van Nostrand: Van Nostrand Princeton, N. J · Zbl 0108.14202
[10] Parzen, E., Stochastic Processes (1962), Holden Day: Holden Day San Francisco · Zbl 0107.12301
[11] Schilder, M., Some structure theorems for the symmetric stable laws, Ann. Math. Stat., 412-421 (1970) · Zbl 0196.19401
[12] Versik, A. M., The axiomatics of measure theory in linear spaces, Soviet Math. Dokl., 9, 68-71 (1968) · Zbl 0169.46704
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