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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.

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