Support theorems and an injectivity result for integral moments of a symmetric \(m\)-tensor field

DOI10.1007/s00041-018-09649-7OpenAlexW2606999098WikidataQ123027288 ScholiaQ123027288MaRDI QIDQ2003599

Rohit Kumar Mishra, Anuj Abhishek

Publication date: 9 July 2019

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.02010

zbMATH Keywords

analytic microlocal analysissupport theoremsintegral moments

Mathematics Subject Classification ID

Integral operators (47G10) Pseudodifferential operators (47G30) Methods of local Riemannian geometry (53B21)

Related Items (11)

The generalized Saint Venant operator and integral moment transforms ⋮ 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 \(\mathbb{R}^n\) ⋮ Generalized attenuated ray transforms and their integral angular moments ⋮ Microlocal inversion of a 3-dimensional restricted transverse ray transform on symmetric tensor fields ⋮ Generalized V-line transforms in 2D vector tomography ⋮ The attenuated geodesic ray transform on tensors: generic injectivity and stability ⋮ 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 $\mathbb{R}^n$ ⋮ On solenoidal-injective and injective ray transforms of tensor fields on surfaces

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