V. Sharafutdinov

activity

20072021

most citedOn problem of polarization tomography, I

24 citations · 26 across the 5 of their papers we have counts for

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4 papers · 1 filter

math.AP2021

Ray transform on Sobolev spaces of symmetric tensor fields, I: Higher order Reshetnyak formulas

Venky P. Krishnan, Vladimir A. Sharafutdinov

For an integer $r \geq 0$ , we prove the $r$ th order Reshetnyak formula for the ray transform of rank $m$ symmetric tensor fields on $R^{n}$ . Certain differential operators $A^{…

math.AP2020

An estimate for the Steklov zeta function of a planar domain derived from a first variation formula

Alexandre Jollivet, Vladimir Sharafutdinov

We consider the Steklov zeta function $ζ$ $Ω$ of a smooth bounded simply connected planar domain $Ω$ $\subset$ R 2 of perimeter 2 $π$ . We provide a first variation formula for $ζ$ $…

math.AP2019

Momentum Ray Transforms, II: Range Characterization In the Schwartz space

Venkateswaran P. Krishnan, Ramesh Manna, Suman Kumar Sahoo +1

The momentum ray transform $I^{k}$ integrates a rank $m$ symmetric tensor field $f$ over lines of $R^{n}$ with the weight $t^{k}$ : $ (I^k\!f)(x,ξ)=\int_{-\infty}^\infty t^kłf(x+tξ),ξ^…

math.AP2018

Momentum ray transforms

Venkateswaran P. Krishnan, Ramesh Manna, Suman Kumar Sahoo +1

The momentum ray transform $I^{k}$ integrates a rank $m$ symmetric tensor field $f$ over lines with the weight $t^{k}$ : $ (I^k\!f)(x,ξ)=\int_{-\infty}^\infty t^k\langle f(x+tξ),ξ^m\ran…