Microlocal Analysis of a Restricted Ray Transform on Symmetric $m$-Tensor Fields in $\mathbb{R}^{n}$
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Publication:4560590
DOI10.1137/18M1178530zbMath1407.35241arXiv1808.00644OpenAlexW2886769029MaRDI QIDQ4560590
Rohit Kumar Mishra, Venkateswaran P. Krishnan
Publication date: 12 December 2018
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.00644
Integral transforms in distribution spaces (46F12) Inverse problems for PDEs (35R30) Fourier integral operators applied to PDEs (35S30)
Related Items (8)
Unique continuation results for certain generalized ray transforms of symmetric tensor fields ⋮ V-line 2-tensor tomography in the plane ⋮ Full reconstruction of a vector field from restricted Doppler and first integral moment transforms in \(\mathbb{R}^n\) ⋮ Microlocal inversion of a 3-dimensional restricted transverse ray transform on symmetric tensor fields ⋮ Support theorems and an injectivity result for integral moments of a symmetric \(m\)-tensor field ⋮ Generalized V-line transforms in 2D vector tomography ⋮ Support theorems for the transverse ray transform of tensor fields of rank \(m\) ⋮ Injectivity and Range Description of Integral Moment Transforms Over $m$-Tensor Fields in $\mathbb{R}^n$
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