A Family of Homogeneous Operators In The Cowen-Douglas Class Over The Poly-disc

Prahllad Deb, Somnath Hazra

We construct a large family of positive-definite kernels $K: \mathbb{D}^n\times \mathbb{D}^n \to \mbox{M} (r, \mathbb C)$, holomorphic in the first variable and anti-holomorphic in…