Demystifying Carleson Frames
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915612439085056 |
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| author | Krishtal, Ilya Miller, Brendan |
| author_facet | Krishtal, Ilya Miller, Brendan |
| contents | We study spanning properties of Carleson systems and prove a recent conjecture on frame subsequences of Carleson frames. In particular, we show that if $\{T^kφ\}_{k=0}^\infty$ is a Carleson frame, then every subsequence of the form $\{T^{Nk+j_k}φ\}_{k=0}^\infty$ where $N\in\mathbb{N}$ and $0 \leq j_k < N$ is also a frame. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_04859 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Demystifying Carleson Frames Krishtal, Ilya Miller, Brendan Functional Analysis We study spanning properties of Carleson systems and prove a recent conjecture on frame subsequences of Carleson frames. In particular, we show that if $\{T^kφ\}_{k=0}^\infty$ is a Carleson frame, then every subsequence of the form $\{T^{Nk+j_k}φ\}_{k=0}^\infty$ where $N\in\mathbb{N}$ and $0 \leq j_k < N$ is also a frame. |
| title | Demystifying Carleson Frames |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2505.04859 |