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, Segal-Bargmann transform, functional calculus on matrix spaces and the theory of semi-circular and circular systems,J
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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.