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On the Nevanlinna problem: characterization of all Schur–Agler class solutions affiliated with a given kernel

On the Nevanlinna problem: characterization of all Schur–Agler class solutions affiliated with a given kernel

Given a domain $\Omega $ in $\mathbb {C}^m$, and finite sets of points $z_1,\ldots , z_n\in \Omega $ and $w_1,\ldots , w_n\in \mathbb {D}$ (the open unit disc in the complex plane), the <em>Pick interpolation problem</em> asks when there is a holomorphic