| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 9502939 | Journal of Mathematical Analysis and Applications | 2005 | 13 Pages |
Abstract
This paper considers Gibbs' phenomenon for scaling vectors in L2(R). We first show that a wide class of multiresolution analyses suffer from Gibbs' phenomenon. To deal with this problem, in [Contemp. Math. 216 (1998) 63-79], Walter and Shen use an Abel summation technique to construct a positive scaling function Pr, 0
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Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
David K. Ruch, Patrick J. Van Fleet,