6 papers
Torsion-Space Diffusion for Protein Backbone Generation with Geometric Refinement
Lakshaditya Singh, Adwait Shelke, Divyansh Agrawal
Designing new protein structures is fundamental to computational biology, enabling advances in therapeutic molecule discovery and enzyme engineering. Existing diffusion-based gener…
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…
The Light ray transform for pseudo-Euclidean metrics
Divyansh Agrawal, Plamen Stefanov
We study the ray transform over null (light) rays in the pseudo-Euclidean space with signature , , . We analyze the normal operator , derive an…
A simple range characterization for spherical mean transform in even dimensions
Divyansh Agrawal, Gaik Ambartsoumian, Venkateswaran P. Krishnan +1
The paper presents a new and simple range characterization for the spherical mean transform of functions supported in the unit ball in even dimensions. It complements the previous…
d-plane transform: unique and non-unique continuation
Divyansh Agrawal, Nisha Singhal
The -plane transform maps functions to their integrals over -planes in . We study the following question: if a function vanishes in a bounded open set, and its…
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…