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arXiv · 2505.04859

Demystifying Carleson Frames

Ilya Krishtal·Brendan Miller
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Abstract

We study spanning properties of Carleson systems and prove a recent conjecture on frame subsequences of Carleson frames. In particular, we show that if $\{T^k\varphi\}_{k=0}^\infty$ is a Carleson frame, then every subsequence of the form $\{T^{Nk+j_k}\varphi\}_{k=0}^\infty$ where $N\in\mathbb{N}$ and $0 \leq j_k < N$ is also a frame.

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BibTeXRIS

Ilya Krishtal, Brendan Miller. 2025-05-07. Demystifying Carleson Frames. https://doi.org/10.1016/j.acha.2025.101811

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