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Meyer Type Wavelet Bases in R2

✍ Scribed by Marcin Bownik; Darrin Speegle

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
200 KB
Volume
116
Category
Article
ISSN
0021-9045

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✦ Synopsis

It is shown that for any expansive, integer valued 2 Γ— 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 the plane by integer translations and such that K … A(KΒ°), where KΒ°is the interior of K.

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