Domains of partial attraction in noncommutative probability

Vittorino Pata

Vol. 176 (1996), No. 1, 235–248

DOI: 10.2140/pjm.1996.176.235

Abstract

In this work we focus on infinitely divisible measures relative to free additive convolution. We give the definition of domain of partial attraction of a measure, and we prove that infinitely divisible laws, and only infinitely divisible laws, are characterized by having non-empty domains of partial attraction.

Mathematical Subject Classification 2000

Secondary: 60E07

Milestones

Received: 14 May 1994

Revised: 18 January 1995

Published: 1 November 1996