Beurling densities of regular maximal orthogonal sets of self-similar spectral measure with consecutive digit sets-Reference-Cited by-同舟云学术

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

Published:2023-08-25 Issue:0 Volume:0 Page:
ISSN:0933-7741
Container-title:Forum Mathematicum
language:en
Short-container-title:

Author:

Wu Yu-Liang¹^ORCID,Wu Zhi-Yi²

Affiliation:

1. Department of Mathematical Sciences , University of Oulu , P.O. Box 3000, 90014 , Oulu , Finland

2. School of Mathematics and Information Science , Guangzhou University , Guangzhou , 510006 , P. R. China ; and Department of Mathematical Sciences, University of Oulu, P.O. Box 3000, 90014, Oulu, Finland

Abstract

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.

Funder

National Natural Science Foundation of China

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/forum-2023-0155/pdf

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