Convergence of Subdivision Schemes and Smoothness of Refinable Functions on p-adic Fields
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911912369848320 |
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| author | N, Athira C, Lineesh M |
| author_facet | N, Athira C, Lineesh M |
| contents | A systematic and comprehensive study of p-adic refinement equations and subdivision scheme associated with a finitely supported refinement mask are carried out in this paper. The Lq -convergence of the subdivision scheme is characterized in terms of the q-norm joint spectral radii of a collection of operators associated with the refinement mask. Also, the smoothness of complex-valued functions on Qp is investigated. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2406_06628 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Convergence of Subdivision Schemes and Smoothness of Refinable Functions on p-adic Fields N, Athira C, Lineesh M Numerical Analysis Functional Analysis 11E95, 11F85, 39B12, 42C15, 43A70 A systematic and comprehensive study of p-adic refinement equations and subdivision scheme associated with a finitely supported refinement mask are carried out in this paper. The Lq -convergence of the subdivision scheme is characterized in terms of the q-norm joint spectral radii of a collection of operators associated with the refinement mask. Also, the smoothness of complex-valued functions on Qp is investigated. |
| title | Convergence of Subdivision Schemes and Smoothness of Refinable Functions on p-adic Fields |
| topic | Numerical Analysis Functional Analysis 11E95, 11F85, 39B12, 42C15, 43A70 |
| url | https://arxiv.org/abs/2406.06628 |