Perturbation of frame sequences in shift-invariant spaces
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We prove a new perturbation criteria for frame sequences, which generalizes previous results and is easier to apply. In the special case of frames infinitely generated shift-invariant subspaces of L2(ℝd) the condition can be formulated in terms of the norm of a finite Gram matrix and a corresponding rank condition.
Math Subject Classifications42C15
Key Words and PhrasesFrames shift-invariant spaces perturbation
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