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Free Convolution Powers Via Roots of Polynomials
Let μ be a compactly supported probability measure on the real line. Bercovici-Voiculescu and Nica-Speicher proved the existence of a free convolution power μ⊞k for any real k≥1. The purpose of this short note is to give a formal proof of an elementary description of μ⊞k in terms of polynomials …