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<p>The present article focuses on a unique continuation result for certain weighted ray transforms, utilizing the unique continuation property (UCP) of the fractional Laplace operator. Specifically, we demonstrate a conservative property for momentum ray transforms acting on tensors, as well as the antilocality property for both weighted ray and cone transforms acting on functions.</p>

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Unique Continuation for the Momentum Ray Transform

  • 期刊论文

  • 发表日期：

    2025年3月7日

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  • Joonas Ilmavirta,
  • Pu-Zhao Kow,
  • Suman Kumar Sahoo

摘要

The present article focuses on a unique continuation result for certain weighted ray transforms, utilizing the unique continuation property (UCP) of the fractional Laplace operator. Specifically, we demonstrate a conservative property for momentum ray transforms acting on tensors, as well as the antilocality property for both weighted ray and cone transforms acting on functions.