Gibbs' phenomenon for nonnegative compactly supported scaling vectors
نویسندگان
چکیده
منابع مشابه
Gibbs’ Phenomenon for Nonnegative Compactly Supported Scaling Vectors
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 [11], Walter and Shen use an Abel summation technique to construct a positive scaling function Pr, 0 < r < 1, from an orthonormal scaling function φ that generates V0. A reproducing kernel can in turn be con...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2005
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2004.09.030