|
|
Beurling densities of regular maximal orthogonal sets of self-similar spectral measure with consecutive digit sets |
|---|---|
| Author: | Wu, Yu-Liang1; Wu, Zhi-Yi2,1 |
| Organizations: |
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 |
| Format: | article |
| Version: | published version |
| Access: | embargoed |
| Persistent link: | http://urn.fi/urn:nbn:fi-fe20230926137465 |
| Language: | English |
| Published: |
De Gruyter,
2023
|
| Publish Date: | 2024-08-25 |
| Description: |
AbstractBeurling 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. see all
|
| Series: |
Forum mathematicum |
| ISSN: | 0933-7741 |
| ISSN-E: | 1435-5337 |
| ISSN-L: | 0933-7741 |
| Issue: | Published online |
| DOI: | 10.1515/forum-2023-0155 |
| OADOI: | https://oadoi.org/10.1515/forum-2023-0155 |
| Type of Publication: |
A1 Journal article – refereed |
| Field of Science: |
111 Mathematics |
| Subjects: | |
| Funding: |
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 |
| Detailed Information: |
318217 (Academy of Finland Funding decision) |
| Copyright information: |
© 2023 Walter de Gruyter GmbH, Berlin/Boston. |