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On some stability results of frame atomic decompositions

Massimo Fornasier
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Abstract

This paper is concerned with the implications of sufficient conditions ensuring that a perturbation of a frame is again a frame. We emphasize how stability of frames is fundamental for numerical applications and we discuss in particular the connection between stability conditions and localization principles for frame atomic decompositions in Banach spaces.

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Massimo Fornasier. 2005-02-10. On some stability results of frame atomic decompositions. https://arxiv.org/abs/math/0502205

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