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Methods of construction of exponential bases on planar domains

2025/05/01 by Asipchuk, Oleg, De Carli, Laura
#42C15 #42C30 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2505.00870

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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