A technique for the construction of compactly supported biorthogonal wavelets of L-2(R-n), n >= 2

Authors
Karoui, A
Citation
A. Karoui, A technique for the construction of compactly supported biorthogonal wavelets of L-2(R-n), n >= 2, J MATH ANAL, 249(2), 2000, pp. 367-392
Citations number
14
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
249
Issue
2
Year of publication
2000
Pages
367 - 392
Database
ISI
SICI code
0022-247X(20000915)249:2<367:ATFTCO>2.0.ZU;2-O
Abstract
In this paper, a technique for the concrete construction of compactly suppo rted biorthogonal wavelet bases of L-2(R-n) is given. This technique does n ot depend on the dimension n, and it gives rise to non-separable multidimen sional wavelet bases. Of special interest is the study of the stability of the constructed wavelet frames. It is assumed that the dilation matrices as sociated with the wavelet bases are given by D = 2I(n). (C) 2000 Academic P ress.