Wavelets and distributed approximating functionals (Q1299568)
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scientific article; zbMATH DE number 1328208
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Wavelets and distributed approximating functionals |
scientific article; zbMATH DE number 1328208 |
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Wavelets and distributed approximating functionals (English)
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24 April 2000
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This paper constructs Dirichlet-Gabor wavelet distributed approximating functionals (DGWDs) by appropriately combining Dirichlet kernels with the Gabor functions. They are well-behaved generalized delta sequences. The properties are demonstrated by solving the Korteweg-de Vries equation. Moreover, a family of mother wavelets is generated from DGWDs. These wavelets have only 1 vanishing moment in general.
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distributed approximating functional
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Dirichlet-Gabor DAF-wavelet
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Korteweg-de Vries equation
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DAF
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