Continuous wavelet transform of Schwartz distributions in \(\mathcal{D}'(\mathbb{R}^{n}),n\geq 1\) (Q2162428)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Continuous wavelet transform of Schwartz distributions in \(\mathcal{D}'(\mathbb{R}^{n}),n\geq 1\) |
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Continuous wavelet transform of Schwartz distributions in \(\mathcal{D}'(\mathbb{R}^{n}),n\geq 1\) (English)
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5 August 2022
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In this article under review, the author extended the continuous wavelet transform to Schwartz distributions and derived the corresponding wavelet inversion formula (valid modulo a constant distribution) interpreting convergence in the weak distributional sense.
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wavelet transform
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continuous wavelet transform
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window functions
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integral transform of generalized functions
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Schwartz distributions
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