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arXiv · 2208.13243

Beurling densities of regular maximal orthogonal sets of self-similar spectral measure with consecutive digit sets

Yu-Liang Wu·Zhi-Yi Wu
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Abstract

Beurling density plays a key role in the study of frame-spectrality of normalized Lebesgue measure restricted to a set. Accordingly, in this paper, the authors study the $s$-Beurling densities of regular maximal orthogonal sets of a class of self-similar spectral measures, where $s$ is the Hausdorff dimension of its support and obtain their exact upper bound of the densities.

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Yu-Liang Wu, Zhi-Yi Wu. 2022-08-28. Beurling densities of regular maximal orthogonal sets of self-similar spectral measure with consecutive digit sets. https://doi.org/10.1515/forum-2023-0155

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