Mathematics – Functional Analysis
Scientific paper
2009-05-05
Mathematics
Functional Analysis
Scientific paper
Given a finite set \sigma of the unit disc \mathbb{D}=\{z\in\mathbb{C}:,\,\vert z\vert<1\} and a holomorphic function f in \mathbb{D} which belongs to a class X, we are looking for a function g in another class Y (smaller than X) which minimizes the norm \left\Vert g\right\Vert_{Y} among all functions g such that g_{\vert\sigma}=f_{\vert\sigma}.
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