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Multivariate refinement equation with nonnegative masks

✍ Scribed by Song Li; Xinlong Zhou


Publisher
SP Science China Press
Year
2006
Tongue
English
Weight
208 KB
Volume
49
Category
Article
ISSN
1674-7283

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Fredholm properties of multivariate refi
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## Abstract The solvability of multivariate refinement equations in the Hilbert space __L__~2~(ℝ^__s__^) is studied. It is shown that the set of all __L__~2~‐solutions of such equations either consists of the trivial solution only or it contains a subspace isomorphic to a space __L__~∞~(__S__~__M__