Oversampling generates super-wavelets

Details Oversampling generates super-wavelets Oversampling generates super-wavelets

2005-11-16

arxiv.org/abs/math/0511399v2

Proc. Amer. Math. Soc. 135 (2007), no. 7, 2219--2227

Mathematics

Functional Analysis

9 pages, AMS-LaTeX. v2: The introduction has been expanded and a number of revisions have been made. Revised for Proceedings o

Scientific paper

We show that the second oversampling theorem for affine systems generates
super-wavelets. These are frames generated by an affine structure on the space
$L^2(\br)\oplus...\oplus L^2(\br)$.

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