Multivariate Wavelet Frames

Details Multivariate Wavelet Frames Multivariate Wavelet Frames

2007-04-18

arxiv.org/abs/0704.2395v1

Mathematics

Classical Analysis and ODEs

LaTex file, 28 pages

Scientific paper

We proved that for any matrix dilation and for any positive integer $n$,
there exists a compactly supported tight wavelet frame with approximation order
$n$. Explicit methods for construction of dual and tight wavelet frames with a
given number of vanishing moments are suggested.

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