Resumen de A Khintchine decomposition for free probability

John D. Williams

• Let μ be a probability measure on the real line. In this paper we prove that there exists a decomposition μ=μ0⊞μ1⊞⋯⊞μn⊞⋯ such that μ0 is infinitely divisible, and μi is indecomposable for i≥1. Additionally, we prove that the family of all ⊞-divisors of a measure μ is compact up to translation. Analogous results are also proven in the case of multiplicative convolution.