Injectivity and Range Description of Integral Moment Transforms Over $m$-Tensor Fields in $\mathbb{R}^n$

DOI10.1137/20M1347589zbMath1464.44002arXiv2006.13102OpenAlexW3118275965WikidataQ123151179 ScholiaQ123151179MaRDI QIDQ3387583

Suman Kumar Sahoo, Rohit Kumar Mishra

Publication date: 13 January 2021

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.13102

zbMATH Keywords

inverse problemsray transformtensor analysisrange characterizationJohn equationintegral moment transforms

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Radon transform (44A12) Inverse problems for integral equations (45Q05)

Related Items (5)

The generalized Saint Venant operator and integral moment transforms ⋮ Unique continuation results for certain generalized ray transforms of symmetric tensor fields ⋮ Momentum Ray Transforms and a Partial Data Inverse Problem for a Polyharmonic Operator ⋮ V-line 2-tensor tomography in the plane ⋮ The linearized Calderón problem for polyharmonic operators

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