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

Abstract

<div lang="en" class="abs"><p class="abs_header">Abstract</p><p>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.</p></div>