On freely indecomposable measures

Details On freely indecomposable measures On freely indecomposable measures

2007-10-05

arxiv.org/abs/0710.1295v1

Mathematics

Operator Algebras

Scientific paper

We show that a probability measure is not a nontrivial free additive
convolution if it puts no mass in an interval whose endpoints are atoms. The
analogous results for free multiplicative convolutions are proved as well. The
proofs use analytic subordination.

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