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Moments of measures attracted to operator semi-stable laws. (English) Zbl 0832.60011

Summary: Bounds on the norming operators for distributions in the domain of semistable attraction of an operator semistable distribution are found. These bounds are used to establish the existence and nonexistence of moments of distributions in the domain of semistable attraction of an operator semistable distribution.

MSC:

60B15 Probability measures on groups or semigroups, Fourier transforms, factorization
60E07 Infinitely divisible distributions; stable distributions
60F05 Central limit and other weak theorems
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