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Stability of the Comparison Problem for the Spherical Radon Transform

Author

Listed:
  • Tian Li

    (School of Mathematics and Statistics, Shaanxi Normal University, Xi’an 710119, China
    School of Mathematics and Statistics, Qinghai Normal University, Xining 810008, China
    These authors contributed equally to this work.)

  • Longyu Wu

    (School of Mathematics and Statistics, Shaanxi Normal University, Xi’an 710119, China
    These authors contributed equally to this work.)

  • Quanxin Zhu

    (School of Mathematics and Statistics, Hunan Normal University, Changsha 410081, China)

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.

Suggested Citation

  • Tian Li & Longyu Wu & Quanxin Zhu, 2025. "Stability of the Comparison Problem for the Spherical Radon Transform," Mathematics, MDPI, vol. 13(3), pages 1-14, February.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:3:p:542-:d:1585220
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    References listed on IDEAS

    as
    1. Tian Li & Baocheng Zhu, 2024. "Stability related to the Lp$L_p$ Busemann–Petty problem," Mathematische Nachrichten, Wiley Blackwell, vol. 297(1), pages 360-377, January.
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