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arxiv: math/0502205 · v1 · submitted 2005-02-10 · 🧮 math.FA · math.NA

On some stability results of frame atomic decompositions

classification 🧮 math.FA math.NA
keywords framestabilityatomicconditionsdecompositionsapplicationsbanachconcerned
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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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