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題名 Unique Continuation for the Momentum Ray Transform
作者 邱普照
Kow, Pu-Zhao;Ilmavirta, Joonas;Sahoo, Suman Kumar
貢獻者 應數系
關鍵詞 Ray transform; Tensor tomography; Antilocality property; Unique continuation property (UCP); Fractional Laplacian; Fractional elliptic operator; Saint Venant operator
日期 2025-03
上傳時間 9-五月-2025 11:27:32 (UTC+8)
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.
關聯 Journal of Fourier Analysis and Applications, Vol.31, article number 17 (30 pages)
資料類型 article
DOI https://doi.org/10.1007/s00041-025-10149-8
dc.contributor 應數系
dc.creator (作者) 邱普照
dc.creator (作者) Kow, Pu-Zhao;Ilmavirta, Joonas;Sahoo, Suman Kumar
dc.date (日期) 2025-03
dc.date.accessioned 9-五月-2025 11:27:32 (UTC+8)-
dc.date.available 9-五月-2025 11:27:32 (UTC+8)-
dc.date.issued (上傳時間) 9-五月-2025 11:27:32 (UTC+8)-
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/156927-
dc.description.abstract (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.
dc.format.extent 106 bytes-
dc.format.mimetype text/html-
dc.relation (關聯) Journal of Fourier Analysis and Applications, Vol.31, article number 17 (30 pages)
dc.subject (關鍵詞) Ray transform; Tensor tomography; Antilocality property; Unique continuation property (UCP); Fractional Laplacian; Fractional elliptic operator; Saint Venant operator
dc.title (題名) Unique Continuation for the Momentum Ray Transform
dc.type (資料類型) article
dc.identifier.doi (DOI) 10.1007/s00041-025-10149-8
dc.doi.uri (DOI) https://doi.org/10.1007/s00041-025-10149-8