Normal Operators for Momentum Ray Transforms, I: The Inversion Formula

Normal Operators for Momentum Ray Transforms, I: The Inversion Formula Full article

Journal

Journal of Fourier Analysis and Applications
ISSN: 1069-5869 , E-ISSN: 1531-5851

Output data

Year: 2024, Volume: 30, Article number : 58, Pages count : 39 DOI: 10.1007/s00041-024-10113-y

Tags

Ray transform · Inverse problems · Symmetric tensor fields · Tensor tomography · Momentum ray transform

Authors

Jathar Shubham R. ¹ , Kar Manas ¹ , Krishnan Venkateswaran P. ² , Sharafutdinov Vladimir A. ³

Affiliations

1	Department of Mathematics, Indian Institute of Science Education and Research Bhopal
2	Centre for Applicable Mathematics, Tata Institute of Fundamental Research
3	Sobolev Institute of Mathematics

Funding (1)

Sobolev Institute of Mathematics

FWNF-2022-0006

The momentum ray transform Ik m integrates a rank m symmetric tensor field f on Rn over lines with the weight tk, Ik m f (x,ξ)= ∞ −∞tk f(x +tξ),ξm dt. We compute the normal operator Nk m = (Ik m)∗Ik m and present an inversion formula recovering a rank m symmetric tensor field f from the data (N0 m f ,...,Nm m f ).

Jathar S.R. , Kar M. , Krishnan V.P. , Sharafutdinov V.A.
Normal Operators for Momentum Ray Transforms, I: The Inversion Formula
Journal of Fourier Analysis and Applications. 2024. V.30. 58 :1-39. DOI: 10.1007/s00041-024-10113-y WOS Scopus РИНЦ OpenAlex

Submitted:	Jan 1, 2024
Accepted:	Aug 30, 2024
Published print:	Oct 1, 2024
Published online:	Oct 1, 2024

Web of science:	WOS:001326726000003
Scopus:	2-s2.0-85205925544
Elibrary:	74734360
OpenAlex:	W4403019999

DB	Citing
OpenAlex	1