Stability of the Comparison Problem for the Spherical Radon Transform

Tian Li, Longyu Wu and Quanxin Zhu ()
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Tian Li: School of Mathematics and Statistics, Shaanxi Normal University, Xi’an 710119, China
Longyu Wu: School of Mathematics and Statistics, Shaanxi Normal University, Xi’an 710119, China
Quanxin Zhu: School of Mathematics and Statistics, Hunan Normal University, Changsha 410081, China

Mathematics, 2025, vol. 13, issue 3, 1-14

Abstract: 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.

Keywords: stability; star bodies; spherical Radon transform; comparison problems (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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