Methods of construction of exponential bases on planar domains
Functional Analysis
2025-05-07 v2
Abstract
In this paper, we survey and refine several results -- some previously established in the literature -- that facilitate the construction of exponential bases on planar domains with explicit control over the associated frame bounds. We apply our techniques to construct well-conditioned exponential bases on certain planar sets that multi-tile the plane.
Cite
@article{arxiv.2505.00870,
title = {Methods of construction of exponential bases on planar domains},
author = {Oleg Asipchuk and Laura De Carli},
journal= {arXiv preprint arXiv:2505.00870},
year = {2025}
}