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Wavelet Decompositions of Nonrefinable Shift Invariant Spaces

✍ Scribed by S Dekel; D Leviatan

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 262 KB
Volume: 12
Category: Article
ISSN: 1063-5203
DOI: 10.1006/acha.2001.0373

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✦ Synopsis

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.  2002 Elsevier Science (USA)

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