Wu, Yu-Liang and Wu, Zhi-Yi. "Beurling densities of regular maximal orthogonal sets of self-similar spectral measure with consecutive digit sets" Forum Mathematicum, 2023. https://doi.org/10.1515/forum-2023-0155
Beurling densities of regular maximal orthogonal sets of self-similar spectral measure with consecutive digit sets
|Author:||Wu, Yu-Liang1; Wu, Zhi-Yi2,1|
1Department of Mathematical Sciences, University of Oulu, P.O. Box 3000, 90014, Oulu, Finland
2School of Mathematics and Information Science, Guangzhou University, Guangzhou, 510006, P. R. China
|Persistent link:|| http://urn.fi/urn:nbn:fi-fe20230926137465
|Publish Date:|| 2024-08-25
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.
|Type of Publication:||
A1 Journal article – refereed
|Field of Science:||
The project was supported by the National Natural Science Foundations of China (12271534), the Guangzhou Basic and Applied Basic Research Foundation (2023A04J0048) and the Academy of Finland (318217).
|Academy of Finland Grant Number:||
318217 (Academy of Finland Funding decision)
© 2023 Walter de Gruyter GmbH, Berlin/Boston.