Vanishing Moments of Wavelets on p-adic Fields
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910477676707840 |
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| author | N, Athira C, Lineesh M |
| author_facet | N, Athira C, Lineesh M |
| contents | A study on the vanishing moments of wavelets on p-adic fields is carried out in this paper. The p-vanishing moments and discrete p-vanishing moments are defined on a p-adic field and the relation between them is investigated. The p-vanishing moments of Haar-type and non-Haar type wavelet functions are computed. Also, the connection between p-vanishing moment of non-Haar type wavelet functions and the approximation order of the indicator function of the compact open subgroup B0 (0) of Qp are established. A characterization of the p-vanishing moments of nonorthogonal wavelets is done. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_05368 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Vanishing Moments of Wavelets on p-adic Fields N, Athira C, Lineesh M Functional Analysis 11E95, 11F85, 41A10, 42C40, 43A70 A study on the vanishing moments of wavelets on p-adic fields is carried out in this paper. The p-vanishing moments and discrete p-vanishing moments are defined on a p-adic field and the relation between them is investigated. The p-vanishing moments of Haar-type and non-Haar type wavelet functions are computed. Also, the connection between p-vanishing moment of non-Haar type wavelet functions and the approximation order of the indicator function of the compact open subgroup B0 (0) of Qp are established. A characterization of the p-vanishing moments of nonorthogonal wavelets is done. |
| title | Vanishing Moments of Wavelets on p-adic Fields |
| topic | Functional Analysis 11E95, 11F85, 41A10, 42C40, 43A70 |
| url | https://arxiv.org/abs/2406.05368 |