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<p>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.</p>

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Methods of Construction of Exponential Bases on Planar Domains

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年6月22日

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  • Oleg Asipchuk,
  • Laura De Carli

摘要

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.