by Joonas Ilmavirta, Pu-Zhao Kow, Suman Kumar Sahoo
Abstract:
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.
Reference:
Unique continuation for the momentum ray transform (Joonas Ilmavirta, Pu-Zhao Kow, Suman Kumar Sahoo), 2023.
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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.
[arXiv]
Bibtex Entry:
@unpublished{momentum-ucp,
author = {Joonas Ilmavirta and Pu-Zhao Kow and Suman Kumar Sahoo},
title = {{Unique continuation for the momentum ray transform}},
month = apr,
year = 2023,
arxiv = {2304.00327},
url={http://users.jyu.fi/~jojapeil/pub/momentum-ucp.pdf},
abstract = {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.}
}