English

Examples of exponential bases on Union of intervals

Functional Analysis 2024-12-13 v3

Abstract

In this paper, we construct explicit exponential bases on finite or infinite unions of segments of total length one with some conditions on gaps between them. We also construct exponential bases on certain unions of cubes in Rd\R^d and we prove a stability result for unions of segments that generalize Kadec's 14\frac{1}{4}-theorem.

Keywords

Cite

@article{arxiv.2211.03821,
  title  = {Examples of exponential bases on Union of intervals},
  author = {Oleg Asipchuk and Vladyslav Drezels},
  journal= {arXiv preprint arXiv:2211.03821},
  year   = {2024}
}