TY - JOUR
T1 - Wavelet decompositions of nonrefinable shift invariant spaces
AU - Dekel, S.
AU - Leviatan, D.
PY - 2002/3
Y1 - 2002/3
N2 - The motivation for this work is a recently constructed family of generators of shift invariant spaces with certain optimal approximation properties, but which are not refinable in the classical sense. We try to see whether, once the classical refinability requirement is removed, it is still possible to construct meaningful wavelet decompositions of dilates of the shift invariant space that are well suited for applications.
AB - The motivation for this work is a recently constructed family of generators of shift invariant spaces with certain optimal approximation properties, but which are not refinable in the classical sense. We try to see whether, once the classical refinability requirement is removed, it is still possible to construct meaningful wavelet decompositions of dilates of the shift invariant space that are well suited for applications.
KW - Approximation order
KW - Nonstationary wavelets
KW - Shift invariant spaces
KW - Wavelets
UR - http://www.scopus.com/inward/record.url?scp=3943078595&partnerID=8YFLogxK
U2 - 10.1006/acha.2001.0373
DO - 10.1006/acha.2001.0373
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AN - SCOPUS:3943078595
SN - 1063-5203
VL - 12
SP - 230
EP - 258
JO - Applied and Computational Harmonic Analysis
JF - Applied and Computational Harmonic Analysis
IS - 2
ER -