A criterion based on analytic extension of a resolvent trace shows λ outside spectrum of a, applied to prove spectrum equals Brown measure support in several free random variable examples.
Biane, On the free convolution with a semi-circular distribution,Indiana Univ
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Spectral results for free random variables
A criterion based on analytic extension of a resolvent trace shows λ outside spectrum of a, applied to prove spectrum equals Brown measure support in several free random variable examples.