BRICS 2021 — Venue LH1 | Invited Talk by Prof. Venky Krishnan
Channel: BRICS Mathematics Conference 2021
Date: 2021-12-07

Title: Higher order Reshetnyak formulas for the ray transform of symmetric tensor fields in Sobolev spaces
Speaker: Venky Krishnan

Abstract: The ray transform of a symmetric m-tensor field is defined as integrals along lines in Euclidean space. In this talk, we derive higher order Reshetnyak formulas for the ray transform of symmetric fields in Sobolev spaces. These are Plancherel-type isometry relations involving certain weighted Sobolev norms of a tensor field and that of its ray transform.