Effective H^{\infty} interpolation

Rachid Zarouf

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arXiv · 0905.0573

Effective H^{\infty} interpolation

Rachid Zarouf

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Abstract

Given a finite set \sigma of the unit disc \mathbb{D}={z\in\mathbb{C}:, |z|<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 |g|_{Y} among all functions g such that g_{|\sigma}=f_{|\sigma}.

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Rachid Zarouf. 2009-05-05. Effective H^{\infty} interpolation. https://arxiv.org/abs/0905.0573

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