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Stable positive definite functions. (English) Zbl 0314.43004


MSC:

43A15 \(L^p\)-spaces and other function spaces on groups, semigroups, etc.
60D05 Geometric probability and stochastic geometry
60B15 Probability measures on groups or semigroups, Fourier transforms, factorization
60E05 Probability distributions: general theory
Full Text: DOI

References:

[1] P. Lévy, Théorie de l’addition des variables aléatoires, Gauthier-Villars, Paris, 1954. · Zbl 0056.35903
[2] Eugene Lukacs, Characteristic functions, Hafner Publishing Co., New York, 1970. Second edition, revised and enlarged. · Zbl 0087.33605
[3] K. R. Parthasarathy and K. Schmidt, Positive definite kernels, continuous tensor products, and central limit theorems of probability theory, Lecture Notes in Mathematics, Vol. 272, Springer-Verlag, Berlin-New York, 1972. · Zbl 0237.43005
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