English

Effective H^{\infty} interpolation

Functional Analysis 2012-12-04 v6

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}.

Keywords

Cite

@article{arxiv.0905.0573,
  title  = {Effective H^{\infty} interpolation},
  author = {Rachid Zarouf},
  journal= {arXiv preprint arXiv:0905.0573},
  year   = {2012}
}
R2 v1 2026-06-21T12:58:16.980Z