English

Demystifying Carleson Frames

Functional Analysis 2025-11-13 v1

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 {Tkφ}k=0\{T^k\varphi\}_{k=0}^\infty is a Carleson frame, then every subsequence of the form {TNk+jkφ}k=0\{T^{Nk+j_k}\varphi\}_{k=0}^\infty where NNN\in\mathbb{N} and 0jk<N0 \leq j_k < N is also a frame.

Cite

@article{arxiv.2505.04859,
  title  = {Demystifying Carleson Frames},
  author = {Ilya Krishtal and Brendan Miller},
  journal= {arXiv preprint arXiv:2505.04859},
  year   = {2025}
}
R2 v1 2026-06-28T23:25:09.779Z