On a problem of Gröchenig about nonlinear approximation with localized frames
Résumé
We prove that the exponential localization of a frame with respect to an orthonormal basis in a Hilbert space is not sufficient to get a Bernstein inequality. In other words, the fact that a function belongs to an approximation space of the frame cannot be characterized in terms of the sparseness of its frame coefficients.
Origine : Fichiers produits par l'(les) auteur(s)
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