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A free analogue of Hincin's characterization of infinite divisibility |
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| Authors: | Hari Bercovici Vittorino Pata |
| Affiliation: | Department of Mathematics, Indiana University, Bloomington, Indiana 47405 ; Dipartimento di Matematica, Università di Brescia, Brescia 25123, Italy |
| Abstract: | Hincin characterized the class of infinitely divisible distributions on the line as the class of all distributional limits of sums of infinitesimal independent random variables. We show that an analogue of this characterization is true in the addition theory of free random variables introduced by Voiculescu. |
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