On criteria for periodic wavelet frame
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866909335225892864 |
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| author | Gorsanova, Anastassia Lebedeva, Elena |
| author_facet | Gorsanova, Anastassia Lebedeva, Elena |
| contents | We provide constructive necessary and sufficient conditions for a family of periodic wavelets to be a Parseval wavelet frame. The criterion generalizes unitary and oblique extension principles. The case of one wavelet generator and refinable functions being trigonometric polynomials is discussed in details. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_01165 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On criteria for periodic wavelet frame Gorsanova, Anastassia Lebedeva, Elena Classical Analysis and ODEs 42C15, 42C40 We provide constructive necessary and sufficient conditions for a family of periodic wavelets to be a Parseval wavelet frame. The criterion generalizes unitary and oblique extension principles. The case of one wavelet generator and refinable functions being trigonometric polynomials is discussed in details. |
| title | On criteria for periodic wavelet frame |
| topic | Classical Analysis and ODEs 42C15, 42C40 |
| url | https://arxiv.org/abs/2409.01165 |