By Tirthankar Bhattacharyya and others

Given a domain \(\Omega\) in \(\mathbb{C}^m\), and a finite set 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 \(Pick\, interpolation\, problem\) asks when there is a holomorphic function \(f:\Omega \rightarrow \overline{\mathbb{D}}\) such that \(f(z_i)=w_i,1\leq i\leq n\). Pick gave a condition... Show more

June 6, 2019

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