Vol. 153, No. 2, 1992

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Lévy-Hinčin type theorems for multiplicative and additive free convolution

Hari Bercovici and Dan-Virgil Voiculescu

Vol. 153 (1992), No. 2, 217–248
Abstract

We give a description of infinitely divisible compactly supported probability measures relative to the multiplicative free convolutions on the positive half-line and on the unit circle. A new proof is provided for the analogous result for additive free convolution.

Mathematical Subject Classification 2000
Secondary: 43A32, 46F10, 60B15
Milestones
Received: 1 December 1990
Published: 1 April 1992
Authors
Hari Bercovici
Dan-Virgil Voiculescu
Department of Mathematics
Univ. of California Berkeley
970 Evans Hall #3940
Berkeley CA 94720-3840
United States
http://math.berkeley.edu/index.php?module=mathfacultyman\&MATHFACULTY_MAN_op=sView\&MATHFACULTY_id=99