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Fractional Splines and Wavelets

✍ Scribed by Unser, Michael; Blu, Thierry

Book ID
120280403
Publisher
Society for Industrial and Applied Mathematics
Year
2000
Tongue
English
Weight
760 KB
Volume
42
Category
Article
ISSN
0036-1445

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Periodic scaling functions and wavelets are constructed directly from non-stationary multiresolutions of \(L^{2}([0,2 \pi))\), the space of square-integrable \(2 \pi\)-periodic functions. For a multiresolution \(\left\{V_{k}: k \geqslant 0\right\}\), necessary and sufficient conditions for \(\cup_{k