Behavior of partial sums of wavelet series (Q1971645)
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scientific article; zbMATH DE number 1423073
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Behavior of partial sums of wavelet series |
scientific article; zbMATH DE number 1423073 |
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Behavior of partial sums of wavelet series (English)
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28 August 2000
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It is shown that for a distribution \(f\) in the Sobolev space \(H^{1/2}\) the partial sums of its wavelet expansion behave like truncated versions of the inverse Fourier transform of \(\hat{f}\). The similar result does not hold for \(H^s\) if \(s < 1/2\).
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Sobolev space
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partial sums of wavelet expansion
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0.9308357
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0.93044996
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0.88641834
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0.8802239
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