1 citations · 1 across the 9 of their papers we have counts for
10 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…
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…
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…
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…
On the null space of the backprojection operator and Rubin's conjecture for the spherical mean transform
Divyansh Agrawal, Gaik Ambartsoumian, Venkateswaran P. Krishnan +1
The spherical mean transform associates to a function its integral averages over all spheres. We consider the spherical mean transform for functions supported in the unit ball…
A simple range characterization for spherical mean transform in odd dimensions and its applications
Divyansh Agrawal, Gaik Ambartsoumian, Venkateswaran P. Krishnan +1
This article provides a novel and simple range description for the spherical mean transform of functions supported in the unit ball of an odd dimensional Euclidean space. The new d…
Linearized partial data Calderón problem for Biharmonic operators
Divyansh Agrawal, Ravi Shankar Jaiswal, Suman Kumar Sahoo
We consider a linearized partial data Calderón problem for biharmonic operators extending the analogous result for harmonic operators. We construct special solutions and utilize Se…
Unique continuation results for certain generalized ray transforms of symmetric tensor fields
Divyansh Agrawal, Venkateswaran P. Krishnan, Suman Kumar Sahoo
Let denote the Euclidean ray transform acting on compactly supported symmetric -tensor field distributions , and be its formal adjoint. We study a u…