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arXiv:0905.0573 [math.FA]AbstractReferencesReviewsResources

Effective H^{\infty} interpolation

Rachid Zarouf

Published 2009-05-05, updated 2012-12-02Version 6

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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