S. K. Sahoo

activity

20182020

collaborators

3 papers

math.AP2020

Injectivity and range description of first $(k + 1)$ integral moment transforms over $m$ -tensor fields in $R^{n}$

Rohit Kumar Mishra, Suman Kumar Sahoo

In this work, we prove a new decomposition result for rank $m$ symmetric tensor fields which generalizes the well known solenoidal and potential decomposition of tensor fields. Thi…

math.AP2019

Microlocal inversion of a 3-dimensional restricted transverse ray transform of symmetric $m$ -tensor fields

Venkateswaran P. Krishnan, Rohit Kumar Mishra, Suman Kumar Sahoo

We study the problem of inverting a restricted transverse ray transform to recover a symmetric $m$ -tensor field in $R^{3}$ using microlocal analysis techniques. More precise…

math.CA2018

Symmetry from sectional integrals for convex domains

Ramya Dutta, Suman Kumar Sahoo

Let $Ω$ be a bounded convex domain in $R^{n}$ ( $n \geq 2$ ). In this work, we prove that if there exists an integrable function $f$ such that it's Radon transform over $(n - 1)$ …

Injectivity and range description of first (k+1) integral moment transforms over m-tensor fields in Rn

Microlocal inversion of a 3-dimensional restricted transverse ray transform of symmetric m-tensor fields

Symmetry from sectional integrals for convex domains

Injectivity and range description of first $(k + 1)$ integral moment transforms over $m$ -tensor fields in $R^{n}$

Microlocal inversion of a 3-dimensional restricted transverse ray transform of symmetric $m$ -tensor fields