R-transforms for non-Hermitian matrices derive from one scalar function of two variables via spherical integrals and the replica method.
A Fourier view on the R-transform and related asymptotics of spherical integrals.Journal of functional analysis, 222(2):435–490
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R-transforms for non-Hermitian matrices: a spherical integral approach
R-transforms for non-Hermitian matrices derive from one scalar function of two variables via spherical integrals and the replica method.