Meyer Type Wavelet Bases in R2

Abstract

It is shown that for any expansive, integer valued 2×2 matrix, there exists a (multi-)wavelet whose Fourier transform is compactly supported and smooth. A key step is showing that for almost every equivalence class of integrally similar matrices there is a representative A which is strictly expansive in the sense that there is a compact set K which tiles… (More)
DOI: 10.1006/jath.2001.3662

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