Non-symmetric vector dyson equations

Jiaoyang Huang, Zhonggen Su, Ruizhe Xu

We study the vector Dyson equation $$-\frac{1}{m(z)}=z1-\mathbf{a}+Sm(z),$$ with parameter $z$ in the complex upper half-plane ${\mathbb{C}}_{+}$, where $\mathbf{a}\in\mathbb…