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arXiv · 2505.00870

Methods of construction of exponential bases on planar domains

Oleg Asipchuk·Laura De Carli
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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.

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Oleg Asipchuk, Laura De Carli. 2025-05-05. Methods of construction of exponential bases on planar domains. https://arxiv.org/abs/2505.00870

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