English

Kadec-type theorems for sampled group orbits

Functional Analysis 2025-11-13 v1

Abstract

We extend the classical Kadec 1/4 theorem for systems of exponential functions on an interval to frames and atomic decompositions formed by sampling an orbit of a vector under an isometric group representation.

Keywords

Cite

@article{arxiv.2407.15827,
  title  = {Kadec-type theorems for sampled group orbits},
  author = {Ilya Krishtal and Brendan Miller},
  journal= {arXiv preprint arXiv:2407.15827},
  year   = {2025}
}
R2 v1 2026-06-28T17:49:50.243Z