Proceedings of the American Mathematical Society

Author(s): Hari Bercovici; Vittorino Pata
Journal: Proc. Amer. Math. Soc. 128 (2000), 1011-1015.
MSC (1991): Primary 46L50, 60E07; Secondary 60E10
Posted: July 28, 1999
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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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Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 46L50, 60E07, 60E10

Hari Bercovici
Affiliation: Department of Mathematics, Indiana University, Bloomington, Indiana 47405
Email: bercovic@indiana.edu

Vittorino Pata
Affiliation: Dipartimento di Matematica, Università di Brescia, Brescia 25123, Italy
Email: pata@ing.unibs.it

DOI: 10.1090/S0002-9939-99-05087-X
PII: S 0002-9939(99)05087-X
Received by editor(s): May 13, 1998
Posted: July 28, 1999
Additional Notes: The first author was partially supported by a grant from the National Science Foundation.
Communicated by: Dale Alspach
Copyright of article: Copyright 2000, American Mathematical Society

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