A remark on dilation-and-modulation frames for $L^2(\mathbb{R}_+)$
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2019
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| _version_ | 1866911016550400000 |
|---|---|
| author | Lemvig, Jakob |
| author_facet | Lemvig, Jakob |
| contents | We show that every rationally sampled dilation-and-modulation system is unitarily equivalent with a multi-window Gabor system. As a consequence, frame theoretical results from Gabor analysis can be directly transferred to dilation-and-modulation systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1912_01416 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | A remark on dilation-and-modulation frames for $L^2(\mathbb{R}_+)$ Lemvig, Jakob Functional Analysis 42C15 We show that every rationally sampled dilation-and-modulation system is unitarily equivalent with a multi-window Gabor system. As a consequence, frame theoretical results from Gabor analysis can be directly transferred to dilation-and-modulation systems. |
| title | A remark on dilation-and-modulation frames for $L^2(\mathbb{R}_+)$ |
| topic | Functional Analysis 42C15 |
| url | https://arxiv.org/abs/1912.01416 |