On the range of the $X$-ray transform of symmetric tensors compactly supported in the plane

DOI10.3934/IPI.2022070arXiv2209.08760MaRDI QIDQ6411162

Kamran Sadiq, Alexandru Tamasan

Publication date: 19 September 2022

Abstract: We find the necessary and sufficient conditions on the Fourier coefficients of a function $g$ on the torus to be in the range of the $X$-ray transform of a symmetric tensor of compact support in the plane.

Mathematics Subject Classification ID

Radon transform (44A12) Integral equations with kernels of Cauchy type (45E05) Boundary value problems for first-order elliptic systems (35J56)

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