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Range characterization of the ray transform on Sobolev spaces of symmetric tensor fields in two dimensions
Divyansh Agrawal, Venkateswaran P. Krishnan, Vladimir A. Sharafutdinov
The ray transform integrates a symmetric rank tensor field on over lines. In the case of , the range characterization of the operator on w…
Normal operators for momentum ray transforms, II: Saint Venant operator
Shubham R. Jathar, Manas Kar, Venkateswaran P. Krishnan +1
The momentum ray transform integrates a rank symmetric tensor field on over lines with the weight , $I_m^kf(x,ξ)=\int_{-\infty}^\infty t^k\lang…
Ray transform on Sobolev spaces of symmetric tensor fields, II: Range characterization
Venky P. Krishnan, Vladimir A. Sharafutdinov
The ray transform integrates symmetric -tensor field in over lines. This transform in Sobolev spaces was studied in our earlier work where higher order Reshet…
Normal operators for momentum ray transforms, I: The inversion formula
Shubham R. Jathar, Manas Kar, Venkateswaran P. Krishnan +1
The momentum ray transform integrates a rank symmetric tensor field on over lines with the weight , $I_m^kf(x,ξ)=\int_{-\infty}^\infty t^k\langle…