Variation-diminishing wavelets and wavelet transforms (Q418213)
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scientific article; zbMATH DE number 6038694
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Variation-diminishing wavelets and wavelet transforms |
scientific article; zbMATH DE number 6038694 |
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Variation-diminishing wavelets and wavelet transforms (English)
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28 May 2012
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By using Schoenberg's theory of convolution transform variation, diminishing wavelets and wavelets of specific changes in sign are constructed. An inversion formula involving derivatives of the wavelet transform is also established. Wavelets generated by Tanno's form of convolution kernels and H-functions are also investigated. The results established in the paper are illustrated by means of examples and figures.
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variation diminishing transforms
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wavelets
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wavelet transforms
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inversion
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M-function
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