Frames for weighted shift-invariant spaces

Details Frames for weighted shift-invariant spaces Frames for weighted shift-invariant spaces

2011-05-30

arxiv.org/abs/1105.6105v1

Mathematics

Functional Analysis

17 pages

Scientific paper

We prove the equivalence of the frame property and the closedness for a
weighted shift-invariant space. We also construct a sequence $\Phi^{2k+1}$ and
the sequence of spaces $V^p_\mu(\Phi^{2k+1})$, $k\in{\mathbb{N}}$, on
$\mathbb{R},$ with the useful properties in sampling, approximations and
stability.

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