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Le support des lois indéfiniment divisibles dans un groupe abélien localement compact. (The support of infinitely divisible laws in a locally compact Abelian group). (French) Zbl 0618.60013
We prove \(S_ t=a_ t+\Sigma\), where \(\Sigma\) is a semi-group containing 0, for the supports of the probability laws of a continuous semigroup in any locally compact Abelian group. Properties of the subgroup of indetermination of \(a_ t\) are given.

60B15 Probability measures on groups or semigroups, Fourier transforms, factorization
60E07 Infinitely divisible distributions; stable distributions
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