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Scaling functions and wavelets with vanishing moments

✍ Scribed by P.L. Butzer; A. Fischer; K. Rückforth

Book ID
103931367
Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
518 KB
Volume
27
Category
Article
ISSN
0898-1221

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✦ Synopsis

The authors investigate conditions equivalent to the vanishing of moments of wavelets in a multiresolution analysis.

📜 SIMILAR VOLUMES

On Wavelets and Prewavelets with Vanishi
On Wavelets and Prewavelets with Vanishing Moments in Higher Dimensions
📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 443 KB

Using an approximation theory approach, we prove that a scaling function with suitable polynomial decay satisfies the Strang-Fix condition of order r # N if and only if the elements of any prewavelet set [ & ] & # E\* with polynomial decay of the same order have vanishing integral moments up to orde