Divyansh Agrawal

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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…