Divyansh Agrawal

most citedUnique continuation results for certain generalized ray transforms of symmetric tensor fields

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math.AP2025

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 $I_{m}$ integrates a symmetric $m$ rank tensor field $f$ on $R^{n}$ over lines. In the case of $n \geq 3$ , the range characterization of the operator $I_{m}$ on w…

math.AP2025

Density results of biharmonic functions on symmetric tensor fields and their applications to inverse problems

Divyansh Agrawal, Sombuddha Bhattacharyya, Pranav Kumar

In this article we discuss density of products of biharmonic functions vanishing on an arbitrarily small part of the boundary. We prove that one can use three or more such biharmon…

math.AP2022★ 1 cited

Unique continuation results for certain generalized ray transforms of symmetric tensor fields

Divyansh Agrawal, Venkateswaran P. Krishnan, Suman Kumar Sahoo

Let $I_{m}$ denote the Euclidean ray transform acting on compactly supported symmetric $m$ -tensor field distributions $f$ , and $I_{m}^{*}$ be its formal $L^{2}$ adjoint. We study a u…