Oversampling of wavelet frames for real dilations

Details Oversampling of wavelet frames for real dilations Oversampling of wavelet frames for real dilations

2012-04-13

arxiv.org/abs/1204.2967v1

Mathematics

Functional Analysis

Journal of London Mathematical Society, published online March 13, 2012 (to appear in print)

Scientific paper

10.1112/jlms/jdr067

We generalize the Second Oversampling Theorem for wavelet frames and dual
wavelet frames from the setting of integer dilations to real dilations. We also
study the relationship between dilation matrix oversampling of semi-orthogonal
Parseval wavelet frames and the additional shift invariance gain of the core
subspace.

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