On the Asymptotic of Coupled Spherical Integrals: An Operator-Valued Extension of the Free Fourier Transform

Levi-Pascal V. G. Bohnacker, Ralf R. Müller, Ralf R. Müller

In this paper the asymptotic exponent of coupled Harish-Chandra-Itzykson-Zuber (HCIZ) integrals is studied. We consider $L$ rank-one HCIZ integrals which are coupled through additi…