On Gibbs' phenomenon for sampling series in wavelet subspaces

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Let {Vm be a multiresolution analysis of L2(R) such that a sampling function S for V0 exists. Then we show the sampling approximation of a function in H0,α1/2 onto Vm converges to it uniformly as m→∞. Also Gibbs phenomenon for this sampling expension is analyzed.
Publisher
TAYLOR & FRANCIS LTD
Issue Date
1996-07
Language
English
Citation

APPLICABLE ANALYSIS, v.61, no.1-2, pp.97 - 109

ISSN
0003-6811
DOI
10.1080/00036819608840447
URI
http://hdl.handle.net/10203/68731
Appears in Collection
MA-Journal Papers(저널논문)
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