Convergence of compactly supported <i>L<sup> <i>p</i> </sup> </i> solutions of the dilation equation
Abstract This paper discusses the existence of compact L p solutions for the dilation equation. We use Iterative Function Schemes to analyze the solutions of the equation under different conditions. In d-dimensional space, the existence of the solution of the dilation equation and the necessary and sufficient conditions are discussed, and some conclusions are obtained.
Authors
- Min Wang (ORCID: https://orcid.org/0000-0002-2760-1506)
- Daping Tian
- Xia Wu (ORCID: https://orcid.org/0009-0008-4912-6225)
Institutions
- Jianghan University (CN)
- Wuhan College (CN)
- Huazhong University of Science and Technology (CN)
Publication Details
- Journal
- Journal of Physics Conference Series
- Published
- 2025-02-01
- DOI
- https://doi.org/10.1088/1742-6596/2964/1/012070
- Primary Topic
- advanced mathematical theories
- Type
- article
- Field-Weighted Citation Impact
- 0.00