Microlocal inversion of a 3-dimensional restricted transverse ray transform on symmetric tensor fields

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:495

Article

Krishnan, Venkateswaran P.¹  Mishra, Rohit Kumar²  Sahoo, Suman Kumar¹ 

[1] TIFR Ctr Applicable Math, Bangalore, Karnataka, India

[2] Univ Texas Arlington, Dept Math, Arlington, TX 76019 USA

关键词: Transverse ray transform;    Microlocal analysis;    Kirillov-Tuy condition;    Paired Lagrangians;   

DOI  :  10.1016/j.jmaa.2020.124700

来源: Elsevier

【 摘 要 】

We study the problem of inverting a restricted transverse ray transform on symmetric tensor fields in R3 using microlocal analysis techniques. We show that a symmetric m-tensor field can be recovered up to a known singular term and a smoothing term if its transverse ray transform is known along all lines intersecting a fixed smooth curve satisfying certain geometric conditions. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free