Stability of the Comparison Problem for the Spherical Radon Transform
This paper addresses the comparison problem for the spherical Radon transform, which was posed by Koldobsky, Roysdon, and Zvavitch. By applying Fourier analytic techniques, we derive linear stability results for both the affirmative and negative solutions to this problem. Furthermore, we investigate the linear separation in this framework.
Authors
- Quanxin Zhu (ORCID: https://orcid.org/0000-0003-3130-4923)
- Li Tian (ORCID: https://orcid.org/0000-0002-3289-5289)
- Longyu Wu
Institutions
- Hunan Normal University (CN)
- Qinghai Normal University (CN)
- Changsha Normal University (CN)
- Shaanxi Normal University (CN)
Publication Details
- Journal
- Mathematics
- Published
- 2025-02-06
- DOI
- https://doi.org/10.3390/math13030542
- Primary Topic
- Medical Imaging Techniques and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China