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The Gibbs Phenomenon for L1loc Kernels

โœ Scribed by L. De Michele; D. Roux


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
131 KB
Volume
100
Category
Article
ISSN
0021-9045

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It is shown that a Gibbs phenomenon occurs in the wavelet expansion of a function with a jump discontinuity at 0 for a wide class of wavelets. Additional results are provided on the asymptotic behavior of the Gibbs splines and on methods to remove the Gibbs phenomenon.