Effective H^{\infty} interpolation

Rachid Zarouf (1)

1 Mathématiques Fondamentales

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}.

Domaines: Analyse fonctionnelle [math.FA]; Variables complexes [math.CV]

Rachid Zarouf. Effective H^{\infty} interpolation. Houston Journal of Mathematics, 2013, 39 (2), pp.487--514. ⟨hal-00381191v6⟩