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Keywords:
matrix refinement equation; continuity; smoothness; iteration; multi-wavelet
matrix refinement equation; continuity; smoothness; iteration; multi-wavelet
Summary:
In this paper we give some criteria for the existence of compactly supported $C^{k+\alpha }$-solutions ($k$ is an integer and $0\le \alpha <1$) of matrix refinement equations. Several examples are presented to illustrate the general theory.
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